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Distance to an equator

Published on
#manifolds #riemannian-geometry #smooth-manifolds #spheres
233
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When can I conclude two models of the hyperbolic plane are isomorphic?

Published on
#geometry #differential-geometry #riemannian-geometry
161
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Is the distance function to $p$ differentiable or smooth at $q$ if there is a unique minimizing geodesic connecting them?

Published on
#riemannian-geometry
368
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Do harmonic maps into spaces of negative curvature locally minimize energy?

Published on
#differential-geometry #reference-request #riemannian-geometry #calculus-of-variations
485
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Does positive Yamabe invariant imply every metric in that conformal class has positive scalar curvature?

Published on
#differential-geometry #riemannian-geometry #curvature #conformal-geometry
435
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Extensions of vector fields and the Hessian

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#differential-geometry #differential-topology #riemannian-geometry #morse-theory
134
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Restriction to a fundamental domain is an isometry

Published on
#manifolds #riemannian-geometry #smooth-manifolds #isometry
258
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A fast introduction to Psuedo-Riammanian Manifolds and Riemannian Manifolds

Published on
#differential-geometry #reference-request #soft-question #riemannian-geometry
76
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Are the components of the curvature tensor w.r.t *changing* normal coordinates smooth?

Published on
#multivariable-calculus #riemannian-geometry #smooth-manifolds #coordinate-systems
107
Views

Morse theory problem II

Published on
#differential-geometry #differential-topology #riemannian-geometry #morse-theory
317
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Closed geodesic on space diffeomorphic to $S^{2n}$ with positive sectional curvature always contains a conjugate point.

Published on
#differential-geometry #riemannian-geometry #geodesic
57
Views

Is this possible to calculate norm of a vector using its inner product with another vector

Published on
#manifolds #riemannian-geometry
748
Views

existence of complex structure in dimension 2

Published on
#complex-analysis #riemannian-geometry #surfaces
799
Views

Representation of Metric in Normal Coordinates

Published on
#differential-geometry #riemannian-geometry
234
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Laplace-Beltrami operators on differently scaled spheres: are they the same?

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

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