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15
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If some of the vectors in a dual basis are orthogonal then so are the original vectors?

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#differential-geometry #riemannian-geometry #inner-products #orthogonality
43
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Minimizing an integral involving first fundamental form

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#differential-geometry #riemannian-geometry #calculus-of-variations
42
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Space quocient of Matrix Set

Published on
#geometry #riemannian-geometry #surfaces #hyperbolic-geometry
32
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Computing the geodesic curvature of curves in $\mathbb{H}^1 \times \mathbb{R} \subset \mathbb{L}^{3}$

Published on
#differential-geometry #riemannian-geometry #surfaces #curves #geodesic
972
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A Hodge dual computation on a $4$-dimensional Riemannian manifold

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#differential-geometry #riemannian-geometry #differential-forms #exterior-algebra #4-manifolds
133
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Elliptic regularity of harmonic forms in $L^1$

Published on
#reference-request #riemannian-geometry #regularity-theory-of-pdes #elliptic-equations #elliptic-operators
417
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Some questions about Hermitian metric on complex manifold

Published on
#riemannian-geometry #complex-geometry
487
Views

Flat tori as a riemannian product

Published on
#riemannian-geometry #curvature #holonomy
89
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Intuition behind discretization of first and second fundamental form in discrete differential geometry

Published on
#differential-geometry #riemannian-geometry
56
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$\operatorname{grad}(f)$ definition and extra basis term.

Published on
#differential-geometry #manifolds #riemannian-geometry
685
Views

Volume form is parallel with respect to Levi-Civita connection

Published on
#riemannian-geometry
49
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Confused about Isometric Immersions

Published on
#differential-geometry #riemannian-geometry
84
Views

Calculation using contracted Binachi identity

Published on
#differential-geometry #riemannian-geometry #ricci-flow
985
Views

Gaussian curvature under a conformal map

Published on
#geometry #differential-geometry #riemannian-geometry #surfaces #curvature
33
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If a (smooth) deformation of a curve on a surface $S$ preserves geodesic curvature, is it necessarily an isometry of $S$?

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#differential-geometry #riemannian-geometry

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