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15
332
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What is a non-topological manifold (if such a thing exists)?

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#general-topology #terminology #manifolds
716
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Trace-free part of the second fundamental form

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#differential-geometry #manifolds #riemannian-geometry #smooth-manifolds #tensors
80
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What does the notation $f'(\mathbf{x_0})(\mathbf{x})$ and $h'(0,0)(0,\mathbf{w})$ mean in differential geometry book (Rudolph and Schmidt)?

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#differential-geometry #manifolds #differential-topology
240
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the manifold of $ D=\{x,y,z,w \mid xw-yz \le 0\}$

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#geometry #differential-geometry #manifolds #parametric #symplectic-geometry
133
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Exponential map, Manifold

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#manifolds #exponential-function #smooth-manifolds #matrix-exponential #tangent-bundle
524
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Completing the proof of that the set of points where $f(x)=0 $ is a $k$-manifold

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#real-analysis #proof-verification #continuity #manifolds #smooth-manifolds
84
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What are the conditions for the solution set of $f(x,y,z) = 0$, $g(x,y,z) = 0$ to be a 1-manifold without boundary?

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#real-analysis #continuity #manifolds #smooth-manifolds
943
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Are charts for smooth manifolds homeomorphisms or diffeomorphisms?

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#manifolds #definition #smooth-manifolds #smooth-functions
892
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The suspension (topology) and elementary examples

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#general-topology #manifolds #geometric-topology
207
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snapPy Simple Example

Published on
#manifolds #knot-theory #low-dimensional-topology
268
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Why the 'gradient of the diffeomorphism at a point in the surface' perpendicular to the surface at that point?

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#calculus #partial-differential-equations #manifolds #vector-analysis #submanifold
62
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Irreducible action of a group on the tangent space of a manifold

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#group-theory #manifolds #group-actions
432
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Definition of Integral over Manifolds

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#integration #manifolds #differential-topology
529
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Understanding De/Suspension $\Sigma^{-1}(\Sigma{X})\neq X$

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#general-topology #manifolds #geometric-topology #morphism
57
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$\operatorname{grad}(f)$ definition and extra basis term.

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#differential-geometry #manifolds #riemannian-geometry

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