List questions from differential-geometry

Published on 27 Mar 2026 - 2:50

144

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Equivalent definitions of Hyperkahler manifolds.

Published on 09 Apr 2026 - 10:51

215

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Alternative formula of Gaussian Curvature

Published on 12 Apr 2026 - 12:33

643

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Why must subbundle be an embedded submanifold?

Published on 11 Apr 2026 - 13:12

151

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principal $G$ bundle from principal $H$ bundle given a morphism of Lie groups $\phi:G\rightarrow H$

Published on 12 Apr 2026 - 19:13

68

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Level Sets of Holomorphic Maps

Published on 27 Mar 2026 - 7:57

337

Views

Confusion about connection, covariant derivative and definition of divergence of a vector in terms of covariant derivative

Published on 11 Apr 2026 - 13:49

358

Views

Fibre Hopf Fibration diffeomorphic to $S^1$

Published on 12 Apr 2026 - 14:23

519

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Curvature of a homogenous manifold.

Published on 09 Apr 2026 - 0:08

104

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Relation between Hodge star operator of two related metric

Published on 27 Mar 2026 - 8:42

1.2k

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Relation between two different definitions of "regular surface"

Published on 11 Apr 2026 - 4:24

152

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Is there geometric intuition for the $\frac{3}{2}$ exponent in radius of curvature formula?

Published on 28 Mar 2026 - 10:24

237

Views

Given a metric, calculate the volume of a subset of the space.

Published on 12 Apr 2026 - 18:11

73

Views

Curvature and torsion

Published on 25 Mar 2026 - 17:45

426

Views

How are diffeomorphisms related to tangent spaces? Why does $F$ invertible $\implies$ $dFp$ invertible?

Published on 12 Apr 2026 - 17:11

List Question

Determining a subset of $\mathbb{C}^2$

Equivalent definitions of Hyperkahler manifolds.

Alternative formula of Gaussian Curvature

Why must subbundle be an embedded submanifold?

principal $G$ bundle from principal $H$ bundle given a morphism of Lie groups $\phi:G\rightarrow H$

Level Sets of Holomorphic Maps

Confusion about connection, covariant derivative and definition of divergence of a vector in terms of covariant derivative

Fibre Hopf Fibration diffeomorphic to $S^1$

Curvature of a homogenous manifold.

Relation between Hodge star operator of two related metric

Relation between two different definitions of "regular surface"

Is there geometric intuition for the $\frac{3}{2}$ exponent in radius of curvature formula?

Given a metric, calculate the volume of a subset of the space.

Curvature and torsion

How are diffeomorphisms related to tangent spaces? Why does $F$ invertible $\implies$ $dFp$ invertible?

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