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15
214
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Embedding of the hyperbolic 3-space into the 4-dimensional Euclidean space

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#partial-differential-equations #manifolds #riemannian-geometry #hyperbolic-geometry #isometry
128
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Understanding cobordisms constructed from a Heegaard triple

Published on
#manifolds #geometric-topology #low-dimensional-topology
1k
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Proof of the General Position Lemma (an exercise from Guillemin-Pollack)

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#manifolds #differential-topology #smooth-manifolds #transversality
67
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The topological manifold of the space of full rank $M(m\times n,R)$ is connected

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#algebraic-geometry #manifolds
386
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Problem with path connectedness in intersection number $\operatorname {mod} 2$

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#algebraic-topology #manifolds #differential-topology #smooth-manifolds
99
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Criteria of a manifold

Published on
#geometry #manifolds #physics #mathematical-physics
414
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Tubular neighbourhood of $C^0$ submanifolds

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#differential-geometry #manifolds
92
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$\phi$ is a local diffeomorphism at $p$.

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#differential-geometry #manifolds
853
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Isomorphism of the set of $n$ x $n$ matrices with the manifold with dimension $n^2$

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#group-theory #manifolds
1.6k
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Guillemin-Pollack: application of the Transversality Theorem

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#differential-geometry #manifolds #differential-topology #smooth-manifolds #transversality
81
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The different integral values of integral over manifold

Published on
#integration #manifolds
54
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Wrapping my head around the geodesic sphere

Published on
#manifolds #exponential-function
168
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Extending foliations of submanifolds

Published on
#differential-geometry #manifolds #foliations
143
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Does a manifold with zero simplicial volume necessarily admit a map $f$ with $|\deg f| > 1$?

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#algebraic-topology #manifolds #geometric-topology
598
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What does tell me this manifold is a circle?

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#general-topology #differential-geometry #manifolds #differential-topology #geometric-topology

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