Riemannian almost-product structures with maximal mobility |
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Authors: | Claus Scheiderer |
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Institution: | (1) Fakultät für Mathematik, Universität Regensburg, D-8400 Regensburg, F.R.G. |
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Abstract: | The aim of the paper is to give a classification up to isomorphism of (local or simply-connected global) Riemannian almost-product structures (i.e. O(n
1) × ... × O(n
t)-structures) whose automorphism group has maximal dimension (the so-called -structures). The describing objects are Lie algebras with some additional structure, and the methods are mainly Lie algebraic. The results obtained are applied to determine all -structures on simply-connected spaces of constant curvature. |
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Keywords: | |
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