Killing forms on symmetric spaces
Copyright policy )Killing forms on symmetric spaces
Killing forms on Riemannian manifolds are differential forms whose covariant derivative is totally skew--symmetric. We show that a compact simply connected symmetric space carries a non--parallel Killing $p$--form ($p\ge2$) if and only if it isometric to a Riemannian product $S^k\times N$, where $S^k$ is a round sphere and $k>p$.
- Universität Hamburg Germany
- École Polytechnique France
- Leipzig University Germany
- Institut für Mathematik Germany
Mathematics - Differential Geometry, Symmetric spaces, symmetric spaces, 58J50, 53C55, 510, 53C55, 58J50, Computational Theory and Mathematics, Differential Geometry (math.DG), [MATH.MATH-DG]Mathematics [math]/Differential Geometry [math.DG], FOS: Mathematics, Geometry and Topology, Killing forms, Differential geometry of symmetric spaces, Analysis
Mathematics - Differential Geometry, Symmetric spaces, symmetric spaces, 58J50, 53C55, 510, 53C55, 58J50, Computational Theory and Mathematics, Differential Geometry (math.DG), [MATH.MATH-DG]Mathematics [math]/Differential Geometry [math.DG], FOS: Mathematics, Geometry and Topology, Killing forms, Differential geometry of symmetric spaces, Analysis
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