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The sphere $S^2$ is not a totally real submanifold of $\mathbb CP^2$

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#differential-geometry #manifolds
201
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Definition of a smooth function on $[0,1]^k$

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#calculus #differential-geometry #smooth-manifolds
113
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The tangent bundle of a fibre bundle associated to a principal $G$-bundle.

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#differential-geometry #differential-topology #vector-bundles
318
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Homogeneous polynomial on unit sphere.

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#differential-geometry #riemannian-geometry
1.2k
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Definition of a submanifold of $\mathbb{R}^n$

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#differential-geometry #manifolds #smooth-manifolds
764
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Is the image of a Lie-subalgebra under the exponential map a subgroup?

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#differential-geometry #lie-groups #lie-algebras
74
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Horizontal lifts and integral curves

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#differential-geometry
70
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Closed orientable 2-manifold

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#geometry #differential-geometry #smooth-manifolds
176
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Matrix representation and non standard basis vectors

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#linear-algebra #differential-geometry
75
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Understanding sections of fiber bundles

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#group-theory #differential-geometry #algebraic-topology #lie-groups
117
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Differential Geometry, why orthogonal eigenvectors have minimum and maximum curvature? why not they happen in other vectors without orthogonal?

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#differential-geometry #curvature
901
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Cross is not locally Euclidean in Tu Manifolds

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#general-topology #differential-geometry #algebraic-topology #manifolds #differential-topology
109
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Distinguish the homeomorphism from the imbedding in the definition of locally Euclidean in Tu Manifolds

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#general-topology #differential-geometry #algebraic-topology #manifolds #differential-topology
682
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Dimension of topological manifold and dimension of smooth manifold in Tu Manifolds

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#general-topology #differential-geometry #algebraic-topology #manifolds #smooth-manifolds
3.6k
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Manifolds of zero dimension and $\mathbb R^0$?

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#general-topology #differential-geometry #manifolds #smooth-manifolds #connectedness

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