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Does the curvature determine the metric?

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#differential-geometry #riemannian-geometry
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Does the curvature determine the metric for all surfaces

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#differential-geometry #riemannian-geometry
527
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Differential operators on the sphere

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#multivariable-calculus #riemannian-geometry
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Is it true that the Laplace-Beltrami operator on the sphere has compact resolvents?

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#functional-analysis #partial-differential-equations #riemannian-geometry #spectral-theory
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Do elliptic operators on Riemannian manifolds have a regularizing effect?

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#reference-request #functional-analysis #riemannian-geometry #spectral-theory
99
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Differentiable map conserving geodetic lines which is no isometry

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#differential-geometry #riemannian-geometry
198
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uniqueness of asymptote in manifold

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#differential-geometry #riemannian-geometry
284
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Manifold contains a totally geodesic closed hypersurface

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#differential-geometry #riemannian-geometry
599
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Question about an isometric immersion

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#differential-geometry #riemannian-geometry
1.4k
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Question in do Carmo's book Riemannian geometry

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#riemannian-geometry
1.9k
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Upper half plane is complete with the Lobatchevski metric

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#riemannian-geometry
995
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The number of geodesics of a complete Riemann manifold with non-positive sectional curvature

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#differential-geometry #riemannian-geometry
2.6k
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Learning differential/Riemannian geometry for PDEs

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#reference-request #differential-geometry #partial-differential-equations #riemannian-geometry
814
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Moving to a conformal metric

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#reference-request #differential-geometry #riemannian-geometry #conformal-geometry
891
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How to solve the $C^\alpha$ Poisson equation on closed Riemannian manifolds?

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#differential-geometry #partial-differential-equations #riemannian-geometry

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