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Is this identity about the Ricci curvature true?

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#differential-geometry #reference-request #riemannian-geometry #curvature #trace
125
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Normalized integrals over shrinking tubular neighbourhoods converge to an integral on the limit submanifold

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#integration #limits #differential-geometry #riemannian-geometry #smooth-manifolds
57
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A technical step working on an almost Hermitian manifold

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#geometry #differential-geometry #riemannian-geometry #complex-geometry
278
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Simply connected noncompact complete 2-dimensional submanifold of $\mathbb{R}^3$

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#differential-geometry #riemannian-geometry #conformal-geometry
1k
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Why don't we consider "Hamiltonian vector field" on tangent bundle?

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#soft-question #riemannian-geometry #classical-mechanics #symplectic-geometry #tangent-bundle
92
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Relation between function and Laplacian in Riemannain manifold

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#analysis #differential-geometry #riemannian-geometry
124
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Discrete subgroup $\Gamma \subseteq G$ is a lattice iff the locally symmetric space $\Gamma\backslash G/K$ has finite volume

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#lie-groups #riemannian-geometry #lattices-in-lie-groups
221
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Question regarding the construction of Riemannian metrics

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#differential-geometry #manifolds #riemannian-geometry
104
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Has this logarithmic volume functional been studied?

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#reference-request #riemannian-geometry #determinant #volume #calculus-of-variations
2.4k
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Lie derivative of volume form

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#differential-geometry #riemannian-geometry #lie-derivative
64
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Minsets of diagonalizable elements in the symmetric space $SL(n,\mathbb{R})/SO(n)$

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#metric-spaces #lie-groups #riemannian-geometry
730
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Uniqueness of connection $1$-forms and curvature $2$-forms

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#differential-geometry #riemannian-geometry #exterior-algebra #semi-riemannian-geometry
419
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Closed geodesic on Poincaré disk and Gauss-Bonnet Theorem

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#riemannian-geometry #hyperbolic-geometry #curvature
727
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Gauss-Bonnet Like Statement Connecting Parallel Transport and Curvature

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#differential-geometry #riemannian-geometry #curvature
296
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Recovering Curvature Endomorphism out of Holonomy

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#differential-geometry #riemannian-geometry #curvature #holonomy

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