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Computing Gaussian curvature of hyperbolic space using Thurston

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#riemannian-geometry #hyperbolic-geometry #curvature
358
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Expressions for components of a covariant derivative of a vector and a covector

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#riemannian-geometry #tensors
120
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Convergence of sequence of eigenfunctions of the Laplacian

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#real-analysis #functional-analysis #riemannian-geometry #smooth-manifolds
63
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Does a map which preserve harmonic forms preserve co-closed forms (locally)?

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#differential-geometry #partial-differential-equations #riemannian-geometry #differential-forms
74
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Is a map which commutes with the codifferential an isometry?

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#partial-differential-equations #riemannian-geometry #differential-forms #symmetry #isometry
1.4k
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The tangential gradient of a function $f$ defined on a manifold

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#differential-geometry #riemannian-geometry #mean-curvature-flows
182
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Question from proof of Rauch Comparison Theorem (ref. do Carmo p 215)

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#differential-geometry #riemannian-geometry
1k
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Let $N \subset M$ be a submanifold. A minimizing geodesic which joins a point $q \in M-N$ minimum distance from $N$ is orthogonal to $N$ at $q$.

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#differential-geometry #riemannian-geometry
205
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Circle on a two-dimensional Riemann manifold

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#differential-geometry #riemannian-geometry #geodesic
99
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A calculation from Berline-Getzler-Vergne

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#differential-geometry #riemannian-geometry #spin-geometry
243
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A conformal map whose Jacobian vanishes at a point is constant?

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#partial-differential-equations #riemannian-geometry #conformal-geometry #quasiconformal-maps
45
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Area growth of minimal submanifolds

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#differential-geometry #riemannian-geometry #minimal-surfaces
82
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a local property of the distance function on Riemannian manifolds

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#differential-geometry #metric-spaces #riemannian-geometry
1.3k
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Coordinates of the tensor of the second fundamental form for a submanifold

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#riemannian-geometry #mean-curvature-flows
38
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Simultaneous diagonalization on curved spaces

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#linear-algebra #riemannian-geometry

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