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15
131
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Why is the orientable double cover orientable?

Published on
#algebraic-topology #homology-cohomology #orientation
74
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Orientation bundle and its flat connection

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#differential-geometry #vector-bundles #connections #orientation
110
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Interpreting the Sign of the Jacobian Determinant

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#jacobian #orientation
105
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Orientation preserving parametrisation of torus

Published on
#differential-geometry #orientation
36
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Induced orientation given a short exact sequence (in Morse homology over $\mathbb{Z}$)

Published on
#algebraic-topology #exact-sequence #orientation #morse-theory
88
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Orientation preserving isometries of the sphere

Published on
#linear-algebra #differential-geometry #riemannian-geometry #orientation
83
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Stiefel-Whitney classes in Čech cohomology

Published on
#manifolds #sheaf-cohomology #characteristic-classes #orientation #spin-geometry
20
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Planar orientation density function in 3D

Published on
#analytic-geometry #3d #density-function #projection #orientation
234
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Orientation of Dehn surgery manifold

Published on
#manifolds #smooth-manifolds #geometric-topology #orientation #surgery-theory
99
Views

Issue about the definition on orientation on manifolds

Published on
#definition #differential-topology #smooth-manifolds #orientation #manifolds-with-boundary
191
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Euler angles to ENU coordinates

Published on
#3d #coordinate-systems #angle #spherical-coordinates #orientation
45
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If $M$ is an oriented manifold with boundary, then this induces an orientation on $\partial M$.

Published on
#differential-geometry #smooth-manifolds #orientation
40
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Non-vanishing of mod 2 intersection number for odd-dimensional manifolds implies the ambient manifold is nonorientable.

Published on
#differential-topology #intersection-theory #orientation
56
Views

Consistency between two different ways of defining an orientation on $S^n$

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#differential-geometry #orientation #tangent-spaces
146
Views

Orientation reversing diffeomorphism but no isometry?

Published on
#differential-geometry #differential-topology #isometry #orientation

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