List questions from holonomy

Published on 15 Apr 2013 - 12:20

2.7k

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Holonomy of the sphere

Published on 26 Apr 2013 - 16:45

1.6k

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Berger's theorem on holonomy

Published on 23 Jun 2013 - 11:52

805

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What is curvature, in terms of holonomy functors?

Published on 25 Jul 2013 - 20:16

27

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Absolutely rough planes

Published on 17 Sep 2013 - 17:14

1k

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Ambrose Singer Theorem

Published on 04 Oct 2013 - 18:55

648

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Holonomy and Differential Characters

Published on 25 Mar 2026 - 23:34

529

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Why is the restricted holonomy the identity component of the holonomy group?

Published on 24 Jan 2014 - 4:22

433

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Can one exchange fibre and base space in a fibre bundle?

Published on 27 Jan 2014 - 1:25

356

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If a connection on a principal $G$-bundle restricts to an $H$-subbundle, must its holonomy lie in $H$?

Published on 09 Feb 2014 - 10:22

527

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holonomic D-modules

Published on 25 Mar 2026 - 7:38

134

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Integrability of the holonomy invariant distribution

Published on 22 Mar 2026 - 10:19

378

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Realize $SU(3)$ as a subgroup of $SO(6)$ (or $SO(7)$) in a surprising way

Published on 13 Sep 2017 - 19:18

60

Views

When total space of canonical bundle of Kaehler-Einstein manifold admits a hyperkaehler structure?

Published on 23 Mar 2026 - 23:32

97

Views

Showing that a 7-manifold has $G_{2}$ holonomy

Published on 25 Mar 2026 - 12:48

List Question

How does the holonomy act on the tangent space at a point?

Holonomy of the sphere

Berger's theorem on holonomy

What is curvature, in terms of holonomy functors?

Absolutely rough planes

Ambrose Singer Theorem

Holonomy and Differential Characters

Why is the restricted holonomy the identity component of the holonomy group?

Can one exchange fibre and base space in a fibre bundle?

If a connection on a principal $G$-bundle restricts to an $H$-subbundle, must its holonomy lie in $H$?

holonomic D-modules

Integrability of the holonomy invariant distribution

Realize $SU(3)$ as a subgroup of $SO(6)$ (or $SO(7)$) in a surprising way

When total space of canonical bundle of Kaehler-Einstein manifold admits a hyperkaehler structure?

Showing that a 7-manifold has $G_{2}$ holonomy

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