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The "true" metric on the Grassmannian: Plücker vs Projective-Frobenius embeddings

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#differential-geometry #algebraic-geometry #manifolds #riemannian-geometry #grassmannian
177
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Do all closed (not necessarily orientable) 3-manifolds embed into some closed orientable 4-manifold?

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#manifolds #differential-topology
857
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When is an open subset of an orientable manifold an orientable submanifold?

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#differential-geometry #manifolds #riemannian-geometry #mobius-band
262
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Lifts of orientation preserving diffeomorphisms of the circle

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#differential-geometry #manifolds #diffeomorphism
62
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$S^{1}\times (0, 1)$ admits a single smooth chart?

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#geometry #differential-geometry #manifolds #differential-topology
397
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Cube with smooth structure

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#geometry #differential-geometry #manifolds #differential-topology #smooth-manifolds
833
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About composition of Transversal Maps

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#geometry #differential-geometry #manifolds #differential-topology #smooth-manifolds
308
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A criterion for non-orientability of a 3-manifold

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#manifolds #differential-topology #vector-bundles
846
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Computing the exterior derivative of a Riemannian metric

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#geometry #differential-geometry #manifolds
472
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Regular domain of a smooth manifold:topological boundary coincides with manifold boundary.

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#manifolds #smooth-manifolds
183
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What is the way to write a manifold of manifolds?

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#manifolds #grassmannian
986
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dimension of a connected Manifold

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#general-topology #manifolds #smooth-manifolds #connectedness
543
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“An Introduction to Manifolds”, Loring W.Tu, Example 8.19

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#general-topology #manifolds #smooth-manifolds #tangent-spaces
62
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Can I create a manifold with these symmetries?

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#manifolds #symmetry
82
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Engelking's book- proof of The Cantor-manifold theorem (1.9.8.)

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#general-topology #manifolds #dimension-theory-analysis #cantor-set

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