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15
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Relation between gradient of a function with respect two linear connection

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#differential-geometry #riemannian-geometry #connections
716
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Trace-free part of the second fundamental form

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#differential-geometry #manifolds #riemannian-geometry #smooth-manifolds #tensors
80
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total space of the bundle of orthonormal frames over a compact manifold is compact -- how to see it?

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#riemannian-geometry #fiber-bundles
36
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Minimal surface contained in a hemisphere

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#reference-request #riemannian-geometry #smooth-manifolds #spherical-geometry #minimal-surfaces
3.4k
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Metric on unit circle

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#riemannian-geometry
121
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Rigorous version of "spatial infinity is a point and not a sphere"

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#differential-geometry #differential-topology #riemannian-geometry #smooth-manifolds #coordinate-systems
31
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How does one call/characterise sewn-together Riemannian manifolds

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#geometry #reference-request #terminology #riemannian-geometry #mathematical-physics
68
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An inequality of p forms on Riemannian manifold

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#differential-geometry #riemannian-geometry
173
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Hopf-Rinow theorem from do Carmo's book, proof problem.

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#geometry #analysis #differential-geometry #riemannian-geometry
180
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Hadamard theorem proof problem at the first lemma in do Carmo's book

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#geometry #analysis #differential-geometry #riemannian-geometry
318
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Can every smooth scalar function $f$ on $M$ be written as $f=\operatorname{div}(X)$?

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#differential-geometry #differential-topology #riemannian-geometry #de-rham-cohomology
49
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Question in the appendixes A of O'Neill book

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#differential-geometry #differential-topology #riemannian-geometry #semi-riemannian-geometry
168
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Problem at proof of Cartan's theorem about the relation between metric and curvature in do Carmo's book

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#geometry #analysis #differential-geometry #riemannian-geometry #semi-riemannian-geometry
197
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Codifferential of volume form on Riemannian manifold.

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#differential-geometry #algebraic-topology #riemannian-geometry
43
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Why is $g(JZ,JW)=-g(Z,W)$?

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#riemannian-geometry #complex-geometry

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