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understanding orientable manifolds

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#smooth-manifolds #connectedness #exterior-algebra #orientation
34
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Is my logic about proving an immersion correct?

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#proof-verification #differential-geometry #smooth-manifolds
268
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How to check when two manifolds $X_a$ and $Y$ intersect transversally

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#differential-geometry #manifolds #differential-topology #smooth-manifolds
114
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Searching for a connected neighborhood of fixed radius for every point of a submanifold

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#differential-geometry #riemannian-geometry #smooth-manifolds #manifolds-with-boundary
190
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Definition approximation of smooth function by Morse function

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#analysis #differential-geometry #smooth-manifolds #morse-theory
106
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Value of Hessian function at a tangent vector represented by the derivative of a differentiable curve at zero.

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#differential-geometry #smooth-manifolds
1.3k
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Show that embeddings, diffeomorphisms, etc. are stable classes of maps

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#differential-topology #smooth-manifolds #diffeomorphism #smooth-functions #transversality
125
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Nonzero Jacobian implies diffeomorphism?

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#differential-topology #smooth-manifolds #diffeomorphism
506
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About change of coordinates of vector fields in smooth manifold theory

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#multivariable-calculus #differential-geometry #smooth-manifolds #smooth-functions
265
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Invariant properties of functions under coordinate transformations

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#manifolds #smooth-manifolds #invariance
325
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When is a quotient of a principal bundle is a principal bundle?

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#differential-geometry #lie-groups #smooth-manifolds #principal-bundles
451
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Spivak Calculus on Manifolds - Definition of a k-dimensional manifold

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#general-topology #analysis #manifolds #smooth-manifolds
200
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John Lee : Cubical charts and cube in $\mathbb{R}^n$

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#differential-geometry #manifolds #smooth-manifolds
40
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Rescaling a Frobenius integrable 1-form to make it closed

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#differential-topology #smooth-manifolds
22
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Proof that we have a differentiable manifold structure

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#manifolds #smooth-manifolds

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