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Question about the definition of smooth map between manifolds

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#differential-geometry #differential-topology #smooth-manifolds
107
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changing the structure group along the given homomorphism of Lie groups

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#differential-geometry #lie-groups #principal-bundles
2k
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Intuition of a smooth vector field

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#differential-geometry #intuition #smooth-manifolds #vector-bundles #vector-fields
219
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What are the advantages of intrinsic view of manifolds?

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#general-topology #differential-geometry #tensors
97
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How to get the linear combination of a k-form?

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#differential-geometry #differential-forms #multilinear-algebra #differential
889
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Stack of records theorem from Allan Pollack and Guillemin differential topology.(Q.1.4.7)

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#general-topology #differential-geometry #differential-topology
260
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Conformal energy and first fundamental form

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#differential-geometry #computational-geometry #conformal-geometry
323
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Mathematics vs. physics notation for differential geometry

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#differential-geometry #reference-request #notation #mathematical-physics
1.1k
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Equivalent definitions of Dual of a variety.

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#differential-geometry #algebraic-geometry #projective-geometry
55
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Prove that the following is an equivalence relation on the set of atlases.

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#general-topology #differential-geometry #differential-topology
115
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Does there exist a regular surface generated by $f(x,y,z)=0$, where $0$ is not a regular value of $f$?

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#differential-geometry #surfaces
259
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Circle in an arbitrary Riemannian manifold

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#differential-geometry
389
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How do you determine the distance from a projected point and its point of projection on a sphere having a unit radius

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#differential-geometry #euclidean-geometry #spherical-coordinates #spheres #riemann-sphere
863
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Flat sections of flat vector bundles

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#differential-geometry #sheaf-theory #vector-bundles #connections
1k
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What is the curvature at a certain point?

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#calculus #differential-geometry #curvature

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