Riemannian manifold
In differential geometry, a Riemannian manifold or Riemannian space (M, g) is a real, smooth manifold M equipped with a positive-definite inner product gp on the tangent space TpM at each point p. A common convention is to take g to be smooth, which means that for any smooth coordinate chart (U, x) on M, the n2 functions are smooth functions. In the same way, one could also consider Lipschitz Riemannian metrics or measurable Riemannian metrics, among many other possibilities.
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Riemannian manifold
In differential geometry, a Riemannian manifold or Riemannian space (M, g) is a real, smooth manifold M equipped with a positive-definite inner product gp on the tangent space TpM at each point p. A common convention is to take g to be smooth, which means that for any smooth coordinate chart (U, x) on M, the n2 functions are smooth functions. In the same way, one could also consider Lipschitz Riemannian metrics or measurable Riemannian metrics, among many other possibilities.
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Dalam geometri diferensial, se ...... olume), , gradien fungsi dan .
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Em geometria de Riemann, uma v ...... vergência de campos vetoriais.
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En Riemannmångfald, Riemannsk ...... under hans föreläsningar 1854.
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En diferenciala geometrio, rim ...... iu punkto (la rimana metriko).
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En la geometría de Riemann, un ...... rgencia de campos vectoriales.
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En matemàtiques, i més específ ...... vergència de camps vectorials.
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En mathématiques, et plus préc ...... de Levi-Civita et la courbure.
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In de riemann-meetkunde, een d ...... het complexe vlak verschijnen.
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In differential geometry, a Ri ...... vature of the manifold itself.
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In matematica, la nozione di v ...... tico tedesco Bernhard Riemann.
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page length (characters) of wiki page
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1,025,204,695
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author
L.A. Sidorov
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id
R/r082180
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proof
Let M be a differentiable manifold and
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a locally finite atlas of open ...... dily seen to be a metric on M.
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{ α ∈ I}
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title
Proof
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Riemannian metric
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Dalam geometri diferensial, se ...... yang disebut geometri Riemann.
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Em geometria de Riemann, uma v ...... vergência de campos vetoriais.
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En Riemannmångfald, Riemannsk ...... under hans föreläsningar 1854.
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En diferenciala geometrio, rim ...... iu punkto (la rimana metriko).
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En la geometría de Riemann, un ...... rgencia de campos vectoriales.
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En matemàtiques, i més específ ...... r de la geometria riemanniana.
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En mathématiques, et plus préc ...... ctuer des calculs de longueur.
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In de riemann-meetkunde, een d ...... het complexe vlak verschijnen.
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In differential geometry, a Ri ...... mong many other possibilities.
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In matematica, la nozione di v ...... tico tedesco Bernhard Riemann.
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label
Manifol Riemannian
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Riemann-variëteit
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Riemannian manifold
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Riemannmångfald
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Riemannsche Mannigfaltigkeit
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Riemannův prostor
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Rimana sternaĵo
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Rozmaitość riemannowska
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Variedad de Riemann
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Variedade de Riemann
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