Weakly complex inner symmetric spaces

Details Weakly complex inner symmetric spaces Weakly complex inner symmetric spaces

2010-06-12

arxiv.org/abs/1006.2457v2

Mathematics

Differential Geometry

The manuscript was withdrawn since it was merged into the related article arXiv:1003.5172

Scientific paper

We prove that the tangent bundle of an inner symmetric space $M$ of compact
type is weakly complex if and only if $M$ is a Riemannian product
$M_1\times...\times M_k$, each $M_i$ being an even-dimensional round sphere or
Hermitian symmetric.

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