Weakly complex inner symmetric spaces

Andrei Moroianu; Uwe Semmelmann

arxiv: 1006.2457 · v2 · pith:VSLEWZYXnew · submitted 2010-06-12 · 🧮 math.DG · math.GT· math.RT

Weakly complex inner symmetric spaces

Andrei Moroianu , Uwe Semmelmann This is my paper

classification 🧮 math.DG math.GTmath.RT

keywords symmetriccomplexinnertimesweaklybundlecompacteven-dimensional

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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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Weakly complex inner symmetric spaces

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