List questions from holonomy

Published on 20 Oct 2023 - 12:44

111

Views

Confusion about parallel transport on principal bundles

Published on 25 Mar 2026 - 16:12

37

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Holonomy vs structure group of tangent bundle

Published on 17 Nov 2023 - 14:12

41

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Compact leaves versus fixed points of holonomy action

Published on 25 Mar 2026 - 6:27

60

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Existence of special transversal on foliation

Published on 23 Feb 2026 - 1:07

615

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For a surface with $K=0$ everywhere, show that the holonomy group reduces to the identity element.

Published on 09 Jan 2015 - 11:04

798

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basic question about holonomy

Published on 17 Apr 2015 - 16:40

237

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Holonomy reduction from constant spinors

Published on 14 May 2015 - 12:51

73

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Why "local holonomy contained in $SU(n)$" is equivalent to "vanishing Ricci curvature"?

Published on 19 Jun 2015 - 7:25

506

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Holonomy computation in $S^2$

Published on 31 Jul 2015 - 17:24

388

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Clarification about the definition of Calabi-Yau manifold

Published on 07 Oct 2015 - 13:17

89

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Flat $G$-structures have Hol=Id

Published on 04 Mar 2026 - 18:34

134

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Parallel displacement on principal bundles

Published on 12 Mar 2026 - 22:20

468

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Derive the formula: $f(z)=2u(\frac{1}{2}z,\frac{1}{2i}z)-2u(0,0)$

Published on 25 Jan 2016 - 14:47

2.2k

Views

Flat non-trivial $U(1)$-bundle? Is it possible?

Published on 22 Mar 2026 - 10:14

List Question

Holonomy expansion

Confusion about parallel transport on principal bundles

Holonomy vs structure group of tangent bundle

Compact leaves versus fixed points of holonomy action

Existence of special transversal on foliation

For a surface with $K=0$ everywhere, show that the holonomy group reduces to the identity element.

basic question about holonomy

Holonomy reduction from constant spinors

Why "local holonomy contained in $SU(n)$" is equivalent to "vanishing Ricci curvature"?

Holonomy computation in $S^2$

Clarification about the definition of Calabi-Yau manifold

Flat $G$-structures have Hol=Id

Parallel displacement on principal bundles

Derive the formula: $f(z)=2u(\frac{1}{2}z,\frac{1}{2i}z)-2u(0,0)$

Flat non-trivial $U(1)$-bundle? Is it possible?

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