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Fundamental group of a component of $GL_n({\bf R})$

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#differential-geometry #lie-groups #riemannian-geometry #curvature #fundamental-groups
33
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Decomposition of $S^2(\wedge^2 E)$

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#riemannian-geometry #curvature
67
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Orthogonal irreducible decomposition of $\otimes^2 E$

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#riemannian-geometry #curvature
121
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$2$-dimensional Hyperbolic space with fundamental group ${\bf Z}$ and constant curvature $-1$

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#riemannian-geometry #hyperbolic-geometry #curvature #fundamental-groups
608
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Euler Lagrange equation for harmonic maps

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#differential-geometry #riemannian-geometry #calculus-of-variations
3.2k
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Trouble computing the shape operator.

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#differential-geometry #riemannian-geometry #surfaces
464
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Jacobi fields in polar coordinates.

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#riemannian-geometry
1.7k
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derivative of a positive definite matrix

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#matrices #differential-geometry #riemannian-geometry
1.2k
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Bianchi identity of linear connection on vector bundle

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#differential-geometry #riemannian-geometry
84
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Are part of great circles geodesics on spherically symmetric manifolds?

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#riemannian-geometry #geodesic
68
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The choice of the eigenfunction of Laplacian

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#riemannian-geometry
599
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Harmonic function on Riemannian manifold

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#riemannian-geometry
502
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Can there be non trivial self-dual 5-forms on a 10-dimensional compact orientable manifold without boundary?

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#riemannian-geometry #hodge-theory
567
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Laplacian on a warped product.

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#riemannian-geometry #differential-forms #laplacian
774
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Distance between a point and the origin in Poincaré Disk

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#geometry #differential-geometry #riemannian-geometry #hyperbolic-geometry

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