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Is there a minimizing geodesic between the less moving point and its image by an isometry?

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#riemannian-geometry #geodesic #isometry
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Gradient flow of functional in a riemannian manifold

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#reference-request #riemannian-geometry #gradient-flows
503
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Question on minimizing property of geodesics

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#differential-geometry #riemannian-geometry
419
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Connection on vector bundle : Prove that $(\nabla_X Y)(p)=0$ if $X(p)=0$.

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#differential-geometry #riemannian-geometry #smooth-manifolds #connections
129
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A volume form on the sphere which gives equal areas to all hemispheres is the standard one?

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#riemannian-geometry #volume #differential-forms #symmetry #spheres
234
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Ricci tensor in killing vector direction (Coordinate notation)

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#riemannian-geometry #general-relativity
410
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A volume form on the sphere which gives equal areas to all hemispheres is invariant under the antipodal map?

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#differential-geometry #riemannian-geometry #differential-forms #symmetry #spheres
224
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Integration on manifold using the flow of a vector field

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#integration #differential-geometry #riemannian-geometry #general-relativity #semi-riemannian-geometry
66
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Calculus of variations when target space has boundary

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#differential-geometry #riemannian-geometry #calculus-of-variations #vector-bundles #manifolds-with-boundary
119
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Property of a Map Like the Geodesic Exponential

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#differential-geometry #riemannian-geometry
624
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How to write the metric transformation of conformally related $S^3$ and $R^3$

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#metric-spaces #riemannian-geometry #conformal-geometry
100
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$\nabla_{\tilde{X}} (\tilde{X})=0$ for all $X \in g$ implies $g(\tilde{Z}, [\tilde{X}, \tilde{Z}])=0$

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#lie-groups #riemannian-geometry #lie-algebras
41
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Angle between two vectors under embedding

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#differential-geometry #riemannian-geometry
960
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Trying to prove the second Bianchi identity

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#differential-geometry #riemannian-geometry #tensors #general-relativity
228
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Cauchy sequence in a complete Riemannian manifold

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#metric-spaces #riemannian-geometry

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