Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4665884 | Advances in Mathematics | 2014 | 25 Pages |
Abstract
In this paper, we will first derive a DDVV-type optimal inequality for real skew-symmetric matrices, then we apply it to establish a Simons-type integral inequality for Riemannian submersions with totally geodesic fibres and Yang–Mills horizontal distributions. In this way, we show phenomenons of duality between submanifold geometry and Riemannian submersion, particularly between second fundamental form of a submanifold and integrability tensor of a Riemannian submersion.
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Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Jianquan Ge,