Centre for Mathematics, University of Coimbra

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Type:	Preprint
National /International:	International
Title:	Curvature adapted submanifolds of bi-invariant Lie groups
Publication Date:	2020-03-27
Authors:	- Margarida Camarinha - Matteo Raffaelli
Abstract:	We study submanifolds of arbitrary codimension in a Lie group G equipped with a bi-invariant metric. In particular, we show that, if the normal bundle of M ⊂ G is abelian, then the normal Jacobi operator of M equals the square of its invariant shape operator. This allows us to obtain geometric conditions which are necessary and sufficient for the submanifold M to be curvature adapted to G.
Institution:	DMUC 20-11
Online version:	http://www.mat.uc.pt...prints/eng_2020.html
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