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General setting of Varadhan's result for distance functions and heat kernels

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#riemannian-geometry #heat-equation
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What is a local invariant?

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#differential-geometry #riemannian-geometry #symplectic-geometry
891
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Relation between parallel vector field along a geodesic and Jacobi field along that same geodesic

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#analysis #geometry #differential-geometry #riemannian-geometry
4.8k
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The relationship between Ricci and Gaussian curvatures

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#differential-geometry #riemannian-geometry #surfaces #curvature
1.9k
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Mean value theorem on Riemannian manifold?

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#manifolds #riemannian-geometry
1.8k
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What is the smallest Euclidean space in which one can embed a given curved space?

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#differential-geometry #riemannian-geometry
182
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Is $S^1 \times S^1$ really a torus?

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#calculus #integration #differential-geometry #manifolds #riemannian-geometry
97
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Expressing a metric as a sum of (possibly) many squares

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#differential-geometry #riemannian-geometry #sums-of-squares
279
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Green's function for Laplace operator in a conformally flat metric?

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#integration #riemannian-geometry #conformal-geometry #laplacian #greens-function
201
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Closed geodesics on real projective space

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#riemannian-geometry
378
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Closed geodesic minimizing properties

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#differential-topology #riemannian-geometry #geodesic
165
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Representation of complex Clifford algebra on exterior algebras when quadratic form has odd index

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#representation-theory #riemannian-geometry #clifford-algebras
309
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What is the formal name for the conformal laplacian?

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#differential-geometry #derivatives #riemannian-geometry #conformal-geometry #laplacian
2.1k
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Riemannian metric of $3$-sphere

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#differential-geometry #riemannian-geometry
546
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Diameter of the Grassmannian

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#differential-geometry #riemannian-geometry #complex-geometry #grassmannian

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