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How does $\operatorname{Ric} \ge 0$ guarentee the Busemann function is regular in the splitting theorem?

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#differential-geometry #riemannian-geometry #morse-theory
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Differentiability of the distance function and cut locus

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#riemannian-geometry
1.2k
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local isometry for riemannian manifolds is not transitive

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#differential-geometry #riemannian-geometry
650
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conformally euclidean metric on riemannian surface

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#riemannian-geometry #conformal-geometry
1.5k
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Positive definiteness of Fubini-Study metric

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#linear-algebra #differential-geometry #riemannian-geometry
158
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projection onto the nullspace of the Laplacian on a conformally compact surface

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#functional-analysis #differential-geometry #partial-differential-equations #riemannian-geometry #hyperbolic-geometry
1.6k
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Berger's theorem on holonomy

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#differential-geometry #riemannian-geometry #holonomy
203
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angle sum for triangle on helicoid

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#geometry #differential-geometry #riemannian-geometry
214
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Path spaces and induced maps on tangent spaces

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#geometry #riemannian-geometry
126
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Hamiltonian reduction in symplectic geometry

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#differential-geometry #manifolds #riemannian-geometry #symplectic-geometry
39
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Inequality in geodesic quadrupel

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#functional-analysis #differential-geometry #metric-spaces #riemannian-geometry
1.3k
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Second variation formula and Jacobi fields

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#geometry #differential-geometry #riemannian-geometry
61
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Inequality in geodesic quadrupel

Published on
#riemannian-geometry
86
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Manifolds with finitely many ends

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#general-topology #manifolds #riemannian-geometry
490
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Gaussian connection on submanifold in Euclidean space: how to compute Christoffel coefficients

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#differential-geometry #riemannian-geometry

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