Weakly complex inner symmetric spaces

2010/06/12 by Andrei Moroianu, Uwe Semmelmann, Moroianu, Andrei +1
Mathematics · #Advanced Algebra and Geometry #Advanced Operator Algebra Research #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Topology (math.GT) #Geometry and complex manifolds #Representation Theory (math.RT) #math.DG #math.GT #math.RT

paper · pdf · doi:10.48550/arxiv.1006.2457

The manuscript was withdrawn since it was merged into the related article arXiv:1003.5172

openalex publication_date 2010/06/12 · arxiv created 2010/09/02 · arxiv updated 2010/09/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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 M₁×...× M_k, each M_i being an even-dimensional round sphere or Hermitian symmetric.

Cited by

• Almost complex structures on quaternion-Kähler manifolds and inner symmetric spaces

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