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15
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Norm induced by the inner product

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#differential-geometry #riemannian-geometry
117
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Proof check that a given metric on $\mathbb{S}^1\times\mathbb{R}$ is not time-orientable

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#differential-geometry #riemannian-geometry #smooth-manifolds #semi-riemannian-geometry
57
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How to deduce the new distance function of a manifold after a transformation of coordinates?

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#measure-theory #riemannian-geometry #transformation #change-of-variable
53
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Reference: Is there a notion of $C^k$-Riemannian manifold, where $k = 0,1,2,...$?

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#differential-geometry #manifolds #riemannian-geometry #smooth-manifolds
29
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Volume compare about submanifold

Published on
#riemannian-geometry
60
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What are these points of lower magnitude in the Riemann Zeta?

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#complex-analysis #complex-numbers #riemannian-geometry #riemann-zeta #zeta-functions
99
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Notation in do Carmo "Riemannian Geometry" Definition 2.6

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#differential-geometry #riemannian-geometry #smooth-manifolds
50
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Can a Lie group act transitively on a geometrically finite hyperbolic manifold?

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#differential-geometry #riemannian-geometry #lie-groups #geometric-topology #hyperbolic-geometry
37
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Curvature in hyperbolic manifolds

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#riemannian-geometry #hyperbolic-geometry #curvature
37
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Functional for the prescribed mean curvature

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#differential-geometry #riemannian-geometry #calculus-of-variations #geometric-measure-theory #euler-lagrange-equation
80
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Can a Riemannian submanifold effectively act as a local tangent space?

Published on
#differential-geometry #riemannian-geometry #differential-topology #general-relativity
70
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Horosphere of hyperbolic space in Minkowski space

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#differential-geometry #riemannian-geometry #hyperbolic-geometry
104
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Generalization of principal, Gaussian and mean curvatures to surfaces in higher-dimensional manifolds

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#differential-geometry #riemannian-geometry #definition #surfaces #curvature
85
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Parallel transport on sections and Riemannian curvature

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#differential-geometry #riemannian-geometry #curvature #connections
86
Views

What does $dzd\bar{z}$ mean?

Published on
#riemannian-geometry #conformal-geometry

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