[{"@context":"http:\/\/schema.org\/","@type":"BlogPosting","@id":"https:\/\/wiki.edu.vn\/all2jp\/wiki11\/archives\/4540#BlogPosting","mainEntityOfPage":"https:\/\/wiki.edu.vn\/all2jp\/wiki11\/archives\/4540","headline":"ZWEITE KUKIPEDIA","name":"ZWEITE KUKIPEDIA","description":"before-content-x4 2\u756a\u76ee\u306e\u57fa\u672c\u5f62\u5f0f \u6570\u5b66\u306e\u5fae\u5206\u5f62\u72b6\u304b\u3089\u306e\u95a2\u6570\u3067\u3059\u3002 2\u756a\u76ee\u306e\u57fa\u672c\u5f62\u5f0f\u306f\u3001\u6700\u521d\u306b3\u6b21\u5143\u7a7a\u9593\u306e\u9818\u57df\u306e\u7406\u8ad6\u3067\u5b9a\u7fa9\u3055\u308c\u3066\u3044\u307e\u3057\u305f\u3002\u3053\u308c\u306f\u3001\u53e4\u5178\u7684\u306a\u5dee\u52d5\u5e7e\u4f55\u5b66\u306e\u30b5\u30d6\u30a8\u30ea\u30a2\u3067\u3059\u3002\u4eca\u65e5\u3001Riemann Geometry\u306b\u306f\u4e00\u822c\u5316\u3055\u308c\u305f\u5b9a\u7fa9\u3082\u3042\u308a\u307e\u3059\u3002 after-content-x4 \u6700\u521d\u306e\u57fa\u672c\u5f62\u5f0f\u306f\u3001\u30a8\u30ea\u30a2\u306e\u5185\u90e8\u30b8\u30aa\u30e1\u30c8\u30ea\uff08\u3064\u307e\u308a\u3001\u30a8\u30ea\u30a2\u5185\u306e\u9577\u3055\u306e\u6e2c\u5b9a\u306b\u3088\u3063\u3066\u6c7a\u5b9a\u3067\u304d\u308b\u30d7\u30ed\u30d1\u30c6\u30a3\uff09\u3092\u8aac\u660e\u3057\u3066\u3044\u307e\u3059\u304c\u30012\u756a\u76ee\u306e\u57fa\u672c\u5f62\u5f0f\u306f\u5468\u56f2\u306e\u7a7a\u9593\u5185\u306e\u9818\u57df\u306e\u4f4d\u7f6e\u306b\u4f9d\u5b58\u3057\u307e\u3059\u3002\u66f2\u7387\u306e\u200b\u200b\u8a08\u7b97\u306b\u306f\u5fc5\u8981\u3067\u3042\u308a\u3001\u305f\u3068\u3048\u3070\u3001Mainardi Codazzazi\u5f0f\u3067\u767a\u751f\u3057\u307e\u3059\u3002 \u5f7c\u3089\u306e\u52a9\u3051\u3092\u501f\u308a\u3066\u3001\u6700\u521d\u306e\u57fa\u672c\u7684\u306a\u5f62\u5f0f\u3001\u4e3b\u306a\u6e7e\u66f2\u3001\u4e2d\u7a0b\u5ea6\u306e\u66f2\u7387\u3001\u304a\u3088\u3073\u5730\u57df\u306e\u30ac\u30a6\u30b9\u306e\u66f2\u7387\u306e\u52a9\u3051\u3092\u501f\u308a\u3066\u5b9a\u7fa9\u3055\u308c\u3066\u3044\u307e\u3059\u3002 Table of Contents \u610f\u5473 [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u7279\u6027 [","datePublished":"2022-09-19","dateModified":"2022-09-19","author":{"@type":"Person","@id":"https:\/\/wiki.edu.vn\/all2jp\/wiki11\/archives\/author\/lordneo#Person","name":"lordneo","url":"https:\/\/wiki.edu.vn\/all2jp\/wiki11\/archives\/author\/lordneo","image":{"@type":"ImageObject","@id":"https:\/\/secure.gravatar.com\/avatar\/44a4cee54c4c053e967fe3e7d054edd4?s=96&d=mm&r=g","url":"https:\/\/secure.gravatar.com\/avatar\/44a4cee54c4c053e967fe3e7d054edd4?s=96&d=mm&r=g","height":96,"width":96}},"publisher":{"@type":"Organization","name":"Enzyklop\u00e4die","logo":{"@type":"ImageObject","@id":"https:\/\/wiki.edu.vn\/wiki4\/wp-content\/uploads\/2023\/08\/download.jpg","url":"https:\/\/wiki.edu.vn\/wiki4\/wp-content\/uploads\/2023\/08\/download.jpg","width":600,"height":60}},"image":{"@type":"ImageObject","@id":"https:\/\/wikimedia.org\/api\/rest_v1\/media\/math\/render\/svg\/88bf916836435eaac9f115120ab48ec6c558b4e2","url":"https:\/\/wikimedia.org\/api\/rest_v1\/media\/math\/render\/svg\/88bf916836435eaac9f115120ab48ec6c558b4e2","height":"","width":""},"url":"https:\/\/wiki.edu.vn\/all2jp\/wiki11\/archives\/4540","wordCount":11130,"articleBody":"     (adsbygoogle = window.adsbygoogle || []).push({});before-content-x4 2\u756a\u76ee\u306e\u57fa\u672c\u5f62\u5f0f \u6570\u5b66\u306e\u5fae\u5206\u5f62\u72b6\u304b\u3089\u306e\u95a2\u6570\u3067\u3059\u3002 2\u756a\u76ee\u306e\u57fa\u672c\u5f62\u5f0f\u306f\u3001\u6700\u521d\u306b3\u6b21\u5143\u7a7a\u9593\u306e\u9818\u57df\u306e\u7406\u8ad6\u3067\u5b9a\u7fa9\u3055\u308c\u3066\u3044\u307e\u3057\u305f\u3002\u3053\u308c\u306f\u3001\u53e4\u5178\u7684\u306a\u5dee\u52d5\u5e7e\u4f55\u5b66\u306e\u30b5\u30d6\u30a8\u30ea\u30a2\u3067\u3059\u3002\u4eca\u65e5\u3001Riemann Geometry\u306b\u306f\u4e00\u822c\u5316\u3055\u308c\u305f\u5b9a\u7fa9\u3082\u3042\u308a\u307e\u3059\u3002        (adsbygoogle = window.adsbygoogle || []).push({});after-content-x4\u6700\u521d\u306e\u57fa\u672c\u5f62\u5f0f\u306f\u3001\u30a8\u30ea\u30a2\u306e\u5185\u90e8\u30b8\u30aa\u30e1\u30c8\u30ea\uff08\u3064\u307e\u308a\u3001\u30a8\u30ea\u30a2\u5185\u306e\u9577\u3055\u306e\u6e2c\u5b9a\u306b\u3088\u3063\u3066\u6c7a\u5b9a\u3067\u304d\u308b\u30d7\u30ed\u30d1\u30c6\u30a3\uff09\u3092\u8aac\u660e\u3057\u3066\u3044\u307e\u3059\u304c\u30012\u756a\u76ee\u306e\u57fa\u672c\u5f62\u5f0f\u306f\u5468\u56f2\u306e\u7a7a\u9593\u5185\u306e\u9818\u57df\u306e\u4f4d\u7f6e\u306b\u4f9d\u5b58\u3057\u307e\u3059\u3002\u66f2\u7387\u306e\u200b\u200b\u8a08\u7b97\u306b\u306f\u5fc5\u8981\u3067\u3042\u308a\u3001\u305f\u3068\u3048\u3070\u3001Mainardi Codazzazi\u5f0f\u3067\u767a\u751f\u3057\u307e\u3059\u3002\u5f7c\u3089\u306e\u52a9\u3051\u3092\u501f\u308a\u3066\u3001\u6700\u521d\u306e\u57fa\u672c\u7684\u306a\u5f62\u5f0f\u3001\u4e3b\u306a\u6e7e\u66f2\u3001\u4e2d\u7a0b\u5ea6\u306e\u66f2\u7387\u3001\u304a\u3088\u3073\u5730\u57df\u306e\u30ac\u30a6\u30b9\u306e\u66f2\u7387\u306e\u52a9\u3051\u3092\u501f\u308a\u3066\u5b9a\u7fa9\u3055\u308c\u3066\u3044\u307e\u3059\u3002 Table of Contents\u610f\u5473 [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u7279\u6027 [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u30dc\u30fc\u30eb\u306e\u8868\u9762\u306e\u4f8b [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u30a8\u30ea\u30a2\u306e\u7279\u5225\u306a\u30b1\u30fc\u30b9\u30b0\u30e9\u30d5 [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u610f\u5473 [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u7279\u6027 [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] Skalar 2\u756a\u76ee\u306e\u57fa\u672c\u5f62\u5f0f [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u610f\u5473 [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u9818\u57df\u306f\u958b\u3044\u305f\u30b5\u30d6\u30bb\u30c3\u30c8\u3092\u901a\u904e\u3057\u307e\u3059        (adsbygoogle = window.adsbygoogle || []).push({});after-content-x4\u306e \u2282 r 2 {displaystyle usubset mathbb {r} ^{2}} \u5b9a\u7fa9\u3055\u308c\u305f\u30a4\u30e9\u30b9\u30c8 \u30d0\u30c4 \uff1a \u306e \u2192 R3\u3001 \uff08 \u306e \u3001 \u306e \uff09\uff09 \u21a6 \u30d0\u30c4 \uff08 \u306e \u3001 \u306e \uff09\uff09 {displaystyle xcolon uto mathbb {r} ^{3}\u3001quad\uff08u\u3001v\uff09mapsto x\uff08u\u3001v\uff09} \u4e0e\u3048\u3089\u308c\u305f\u3001\u305d\u3046\u3067\u3059 \u306e {displaystyleu} \u3068        (adsbygoogle = window.adsbygoogle || []).push({});after-content-x4\u306e {displaystyle v} \u30d1\u30e9\u30e1\u30fc\u30bf\u30fc\u5316\u3002\u30a8\u30ea\u30a2\u304c\u6b63\u898f\u306e\u5834\u5408\u3001\u3064\u307e\u308a\u9818\u57df\u306e\u6700\u521d\u306e\u30d5\u30a1\u30f3\u30c0\u30eb\u5f62\u5f0f\u304c\u6b63\u78ba\u5b9a\u3067\u3042\u308b\u5834\u5408\u3001\u30a8\u30ea\u30a2\u306e\u30e6\u30cb\u30c3\u30c8\u901a\u5e38\u306e\u30d9\u30af\u30c8\u30eb\u3092\u6301\u3064\u3053\u3068\u304c\u3067\u304d\u307e\u3059 n \uff08 \u306e \u3001 \u306e \uff09\uff09 {displaystyle nu\uff08u\u3001v\uff09} \u306b\u5272\u308a\u5f53\u3066\u307e\u3059\u3002\u30d1\u30e9\u30e1\u30fc\u30bf\u30fc\u5024\u306e\u5834\u5408 \u306e {displaystyleu} \u3068 \u306e {displaystyle v} \u30a8\u30ea\u30a2\u306e\u7279\u5b9a\u306e\u30dd\u30a4\u30f3\u30c8\u306f\u3001\u30d9\u30af\u30c8\u30eb\u88fd\u54c1\u3092\u901a\u3057\u3066\u3067\u3059 n \uff08 \u306e \u3001 \u306e \uff09\uff09 = Xu(u,v)\u00d7Xv(u,v)|Xu(u,v)\u00d7Xv(u,v)|{displaystyle nu\uff08u\u3001v\uff09= {frac {x_ {u}\uff08u\u3001v\uff09times x_ {v}\uff08u\u3001v\uff09} {| x_ {u}\uff08u\u3001v\uff09times x_ {v}\uff08u\u3001v\uff09|}}}}} \u4e0e\u3048\u3089\u308c\u305f\u3002 2\u756a\u76ee\u306e\u57fa\u672c\u5f62\u5f0f\u306e\u4fc2\u6570 \u3053\u306e\u70b9\u3067\u3001\u4ee5\u4e0b\u304c\u5b9a\u7fa9\u3055\u308c\u3066\u3044\u307e\u3059\u3002 l \uff08 \u306e \u3001 \u306e \uff09\uff09 = n \uff08 \u306e \u3001 \u306e \uff09\uff09 de \u30d0\u30c4 uu\uff08 \u306e \u3001 \u306e \uff09\uff09 {displaystyle l\uff08u\u3001v\uff09= nu\uff08u\u3001v\uff09cdot x_ {uu}\uff08u\u3001v\uff09} m \uff08 \u306e \u3001 \u306e \uff09\uff09 = n \uff08 \u306e \u3001 \u306e \uff09\uff09 de \u30d0\u30c4 uv\uff08 \u306e \u3001 \u306e \uff09\uff09 {displaystyle m\uff08u\u3001v\uff09= nu\uff08u\u3001v\uff09cdot x_ {uv}\uff08u\u3001v\uff09} n \uff08 \u306e \u3001 \u306e \uff09\uff09 = n \uff08 \u306e \u3001 \u306e \uff09\uff09 de \u30d0\u30c4 vv\uff08 \u306e \u3001 \u306e \uff09\uff09 {displaystyle n\uff08u\u3001v\uff09= nu\uff08u\u3001v\uff09cdot x_ {vv}\uff08u\u3001v\uff09} \u5b9a\u7fa9\u3055\u308c\u3066\u3044\u307e\u3059\u3002\u3053\u3053\u306b\u3042\u308a\u307e\u3059 \u30d0\u30c4 \u306e \u306e \uff08 \u306e \u3001 \u306e \uff09\uff09 {displaystyle x_ {uu}\uff08u\u3001v\uff09} \u3001 \u30d0\u30c4 \u306e \u306e \uff08 \u306e \u3001 \u306e \uff09\uff09 {displaystyle x_ {uv}\uff08u\u3001v\uff09} \u3068 \u30d0\u30c4 \u306e \u306e \uff08 \u306e \u3001 \u306e \uff09\uff09 {displaystyle x_ {and}\uff08u\u3001v\uff09} \u30d1\u30e9\u30e1\u30fc\u30bf\u30fc\u306b\u5fdc\u3058\u305f2\u756a\u76ee\u306e\u90e8\u5206\u6d3e\u751f\u3002MalPoints\u306f\u3001\u30d9\u30af\u30c8\u30eb\u304b\u3089\u30b9\u30ab\u30e9\u30fc\u88fd\u54c1\u3092\u767a\u73fe\u3057\u307e\u3059\u3002\u30b9\u30da\u30eb\u3092\u7c21\u7d20\u5316\u3059\u308b\u305f\u3081\u306b\u3001\u8b70\u8ad6\u306f\u3057\u3070\u3057\u3070\u7701\u7565\u3055\u308c\u3001\u66f8\u304d\u8fbc\u307f\u306e\u307f\u3092\u66f8\u304d\u307e\u3059 l {displaystyle l} \u3001 m {displaystyle m} \u3068 n {displaystyle n} \u3002\u4e00\u90e8\u306e\u8457\u8005\u306f\u540d\u524d\u3092\u4f7f\u7528\u3057\u3066\u3044\u307e\u3059 \u305d\u3046\u3067\u3059 {displaystyle e} \u3001 f {displaystyle f} \u3068 g {displaystyle g} \u3002  2\u756a\u76ee\u306e\u57fa\u672c\u5f62\u5f0f \u6b21\u306b\u3001\u6b63\u65b9\u5f62\u306e\u5f62\u3067\u3059 II\uff1a R2\u2192 r \u3001  \uff08 \u306e 1\u3001 \u306e 2\uff09\uff09 \u21a6 l \u306e 12+ 2 m \u306e 1\u306e 2+ n \u306e 22{displaystyle {mathit {ii}} colon mathbb {r}^{2} to mathbb {r}\u3001\uff08w_ {1}\u3001w_ {2}\uff09mapsto l\u3001w_ {1}^{2}+2m\u3001w_ {1} w_ {2}+n\u3001w_ {2} {2} \u5834\u5408\u306b\u3088\u3063\u3066\u306f\u3001\u5fae\u5206\u306e\u30b9\u30da\u30eb\u3082\u4f7f\u7528\u3055\u308c\u307e\u3059\u3002 d a 2= l d \u306e 2+ 2 m d \u306e d \u306e + n d \u306e 2{displaystyle dsigma^{2} = l\u3001you^{2}+2m\u3001you\u3001dv+n\u3001dv^{2}} \u5225\u306e\uff08\u3088\u308a\u30e2\u30c0\u30f3\u306a\uff09\u30b9\u30da\u30eb\u306f\u6b21\u306e\u3068\u304a\u308a\u3067\u3059\u3002 h 11= l ; h 12= h 21= m ; h 22= n {displaystyle h_ {11} = l; quad h_ {12} = h_ {21} = m; quad h_ {22} = n} \u3001 2\u756a\u76ee\u306e\u57fa\u672c\u5f62\u5f0f\u306b\u306f\u3001\u30de\u30c8\u30ea\u30c3\u30af\u30b9\u30d7\u30ec\u30bc\u30f3\u30c6\u30fc\u30b7\u30e7\u30f3\u304c\u3042\u308a\u307e\u3059 \uff08 h ij\uff09\uff09 = (LMMN)\u3002 {displaystyle\uff08h_ {ij}\uff09= {begin {pmatrix} l\uff06m \\ m\uff06nend {pmatrix}}\u3002}} \u591a\u304f\u306e\u5834\u5408\u30012\u756a\u76ee\u306e\u30d5\u30a1\u30a6\u30f3\u30c0\u30eb\u30d5\u30a9\u30fc\u30e0\u306f\u3001\u3053\u306e\u30de\u30c8\u30ea\u30c3\u30af\u30b9\u3067\u793a\u3055\u308c\u308b\u53cc\u7dda\u5f62\u306e\u5f62\u72b6\u3092\u6307\u3057\u307e\u3059 h {displaystyle h} \u3002 \u7279\u6027 [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ]  \u5dee\u5225  l n  –  m 2 {displaystyle ln-m^{2}} 2\u756a\u76ee\u306e\u57fa\u672c\u5f62\u5f0f\u306e\uff08\u3064\u307e\u308a\u3001\u8868\u73fe\u30de\u30c8\u30ea\u30c3\u30af\u30b9\u306e\u6c7a\u5b9a\u8981\u56e0\uff09\u306f\u3001\u4e0e\u3048\u3089\u308c\u305f\u9818\u57df\u304c\u691c\u8a0e\u4e2d\u306e\u9818\u57df\u3067\u3069\u306e\u3088\u3046\u306b\u6e7e\u66f2\u3057\u3066\u3044\u308b\u304b\u306b\u3064\u3044\u3066\u306e\u60c5\u5831\u3092\u63d0\u4f9b\u3057\u307e\u3059\u3002\u533a\u5225\u3059\u3079\u304d3\u3064\u306e\u30b1\u30fc\u30b9\u304c\u3042\u308a\u307e\u3059\u3002 \u305f\u3081\u306b 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