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How does the Schrodinger's potential transformer if the metric conformally transformers?

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#differential-geometry #physics #riemannian-geometry #mathematical-physics #conformal-geometry
559
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Index notation.

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#differential-geometry #notation #riemannian-geometry #semi-riemannian-geometry
465
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Local expression of hermitian metric

Published on
#riemannian-geometry #complex-geometry
321
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Riemannian manifold and coordinate transformation

Published on
#riemannian-geometry
76
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When are geodesically generated surfaces everywhere spacelike?

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#differential-geometry #riemannian-geometry #general-relativity #semi-riemannian-geometry
317
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Find a surface that has positive constant curvature that is not open subset of sphere

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#differential-geometry #manifolds #riemannian-geometry #smooth-manifolds
131
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When a given family of curves are geodesics of some affine connection?

Published on
#differential-geometry #reference-request #riemannian-geometry
144
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All riemannian isometries between open subsets of $\mathbb{R}^n$ are affine

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#reference-request #riemannian-geometry #isometry
3.5k
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What does it mean that we can diagonalize the metric tensor

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#differential-geometry #riemannian-geometry
805
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Curvature tensors and bivectors

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#differential-geometry #riemannian-geometry #tensors #curvature
390
Views

Why are diffeomorphism-invariant PDE not elliptic?

Published on
#analysis #partial-differential-equations #riemannian-geometry
2.3k
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How to prove that the flat torus is indeed flat?

Published on
#riemannian-geometry #riemann-surfaces #curvature
288
Views

Riemann Roch Meromorphic section on a line bundle.

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#riemannian-geometry #riemann-surfaces #vector-bundles #complex-manifolds #holomorphic-bundles
713
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Flow of a left invariant vector field on a Lie group equipped with left-invariant metric and the group's geodesics

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#differential-geometry #lie-groups #lie-algebras #riemannian-geometry
130
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Basic question: Riemannian Curvature is nondegenerate

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#differential-geometry #riemannian-geometry #curvature

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