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Vertical curve in a Riemannian warped product is a geodesic

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#differential-geometry #riemannian-geometry #curves #geodesic #connections
53
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Metric on the complement of a divisor is complete?

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#riemannian-geometry #complex-geometry #kahler-manifolds
188
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Inner product of a the killing filed with the velocity of a geodesic

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#differential-geometry #differential-topology #riemannian-geometry
110
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Explicit computation of the first Chern class of a quintic three-fold

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#complex-analysis #riemannian-geometry #characteristic-classes #kahler-manifolds
424
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Meaning of Lie Bracket term in Riemann Curvature Tensor Formula

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#differential-geometry #riemannian-geometry #tensors #curvature
77
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Morse deformations for a family of functions on a manifold with boundary

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#differential-geometry #riemannian-geometry #morse-theory #gradient-flows
1k
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The "true" metric on the Grassmannian: Plücker vs Projective-Frobenius embeddings

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#differential-geometry #algebraic-geometry #manifolds #riemannian-geometry #grassmannian
857
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When is an open subset of an orientable manifold an orientable submanifold?

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#differential-geometry #manifolds #riemannian-geometry #mobius-band
1k
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Reference request: Studying Loring Tu's “Connections, Curvature, and Characteristic Classes” incompletely, but with restrictions

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#differential-geometry #differential-topology #riemannian-geometry #curvature #connections
92
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Understanding of differential of a curve as a vector field

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#differential-geometry #riemannian-geometry #curves #vector-fields #geodesic
49
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derivative of composition curve

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#riemannian-geometry #smooth-manifolds #curves #differential #pushforward
41
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Metric on a manifold with boundary, with prescribed orthogonal

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#differential-geometry #riemannian-geometry #transversality
225
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Reparametrised curve is geodesic

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#differential-geometry #riemannian-geometry #curves #geodesic #connections
269
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Lemma $1.30$ - A course in minimal surfaces by Colding and Minicozzi

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#proof-explanation #riemannian-geometry #minimal-surfaces
89
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A question about local flow

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#analysis #differential-geometry #riemannian-geometry #lie-derivative

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