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In mathematics, Salomon Bochner proved in 1946 that any Killing vector field of a compact Riemannian manifold with negative Ricci curvature must be zero. Consequently the isometry group of the manifold must be finite.

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  • In mathematics, Salomon Bochner proved in 1946 that any Killing vector field of a compact Riemannian manifold with negative Ricci curvature must be zero. Consequently the isometry group of the manifold must be finite. (en)
  • Inom differentialgeometri är Bochner–Yanos sats ett resultat som säger att av en kompakt Riemannmångfald med negativ är ändlig ( & ). (sv)
  • 在微分几何中,博赫纳–矢野定理(Bochner-Yano theorem)是指紧凑黎曼流形的具有负的里奇曲率张量的等距群是有限的。它因和矢野健太郎1953年出版的著作而命名。 (zh)
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dbp:1a
  • Taylor (en)
  • Petersen (en)
  • Kobayashi (en)
  • Nomizu (en)
dbp:1loc
  • Corollary VI.5.4 (en)
  • Proposition 8.2.1 (en)
  • Theorem 5.3 (en)
  • Theorem VI.3.4 (en)
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  • 305 (xsd:integer)
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  • 1963 (xsd:integer)
  • 2011 (xsd:integer)
  • 2016 (xsd:integer)
dbp:2a
  • Petersen (en)
dbp:2loc
  • Corollary 8.2.3 (en)
  • Theorem 8.2.2 (en)
dbp:2p
  • 316 (xsd:integer)
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  • 2016 (xsd:integer)
dbp:3a
  • Taylor (en)
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  • 305 (xsd:integer)
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  • 2011 (xsd:integer)
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  • In mathematics, Salomon Bochner proved in 1946 that any Killing vector field of a compact Riemannian manifold with negative Ricci curvature must be zero. Consequently the isometry group of the manifold must be finite. (en)
  • Inom differentialgeometri är Bochner–Yanos sats ett resultat som säger att av en kompakt Riemannmångfald med negativ är ändlig ( & ). (sv)
  • 在微分几何中,博赫纳–矢野定理(Bochner-Yano theorem)是指紧凑黎曼流形的具有负的里奇曲率张量的等距群是有限的。它因和矢野健太郎1953年出版的著作而命名。 (zh)
rdfs:label
  • Bochner's theorem (Riemannian geometry) (en)
  • Bochner–Yanos sats (sv)
  • 博赫纳–矢野定理 (zh)
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