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Prove there exists a smooth unit normal at the boundary of the following manifold

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#differential-geometry #manifolds #smooth-manifolds #orientation
257
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Fundamental class for tangent bundle

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#algebraic-topology #manifolds #differential-topology #vector-bundles
1.3k
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push forward of the levi civita connection

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#differential-geometry #manifolds #riemannian-geometry
71
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Orientation on the boundary

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#manifolds #differential-topology #orientation
273
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Simplification of Levi-Civita in an orthonormal frame

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#geometry #manifolds #riemannian-geometry
57
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Divergence theorem not consistent when calculating the flux of $F= (x^k,y^k,z^k)$ on $S^2$?

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#calculus #manifolds #fluid-dynamics
662
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The reason behind the definition of manifold

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#general-topology #manifolds
488
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Determining a derivation on the unit sphere of the $\mathbb{R}^3$

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#real-analysis #analysis #manifolds #stereographic-projections
50
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Regular values of $g(x,y)= x^2 - y^2$

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#differential-geometry #proof-verification #manifolds
146
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Transversality: what is wrong with this counter example to persistence for small perturbations?

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#differential-geometry #manifolds #differential-topology #dynamical-systems
1.1k
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What is the tangent space o SO(n)

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#differential-geometry #manifolds #differential-topology #riemannian-geometry
498
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Is Whitehead's manifold with a point removed homotopy equivalent to a sphere?

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#algebraic-topology #manifolds #low-dimensional-topology
420
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Concept of Manifold

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#manifolds
160
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Low torsion in orientable manifolds?

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#algebraic-topology #manifolds #differential-topology #homology-cohomology #orientation
643
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Is the Lie derivative $L_{X}(\omega \wedge \mu)$ an exact form?

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#differential-geometry #manifolds #smooth-manifolds #lie-derivative

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