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No where vanishing exact $1$-form on compact manifold.

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#differential-geometry #differential-topology #smooth-manifolds #stokes-theorem #manifolds-with-boundary
37
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Lifting of operator under free action

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#functional-analysis #differential-geometry #lie-groups #riemannian-geometry #group-actions
135
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Exterior Derivative over Quaternions

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#differential-geometry #differential-forms #quaternions #exterior-algebra #exterior-derivative
137
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Does the velocity vector have to have unit speed parametrisation in calculations of the frenet frame?

Published on
#differential-geometry #frenet-frame
338
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Computing the matrix representation of the second fundamental form of a cylinder

Published on
#calculus #differential-geometry
475
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Spivak Calculus on Manifolds - Problem 4-1

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#real-analysis #linear-algebra #differential-geometry
75
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Smooth structures on noncompact 6-manifolds

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#differential-geometry #algebraic-topology #differential-topology
360
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Is there a name for the minimal surface connecting two straight line segments in 3-dim Euclidean space?

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#differential-geometry #euclidean-geometry #analytic-geometry #calculus-of-variations #parametric
140
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Existence of closed and intersecting geodesics on a compact manifold

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#differential-geometry #riemannian-geometry #classical-mechanics
1k
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Push-forward of inverse map

Published on
#differential-geometry #lie-groups #lie-algebras #pushforward #tangent-spaces
221
Views

How does push-forward of inverse map look like?

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#differential-geometry #lie-groups #lie-algebras
28
Views

Matrix and differomorphism.

Published on
#calculus #differential-geometry
388
Views

Why does this vector field approach zero near the north pole?

Published on
#differential-geometry #manifolds #vector-fields #spheres
82
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Riemann Tensor from Geodesic Deviation

Published on
#geometry #differential-geometry #riemannian-geometry #curvature
42
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Non-compact complex foliation on a compact manifold

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#differential-geometry #manifolds #complex-geometry

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