Almost even-Clifford hermitian manifolds with large automorphism group

Abstract

We study manifolds endowed with an (almost) even Clifford (hermitian) structure and admitting a large automorphism group. We classify them when they are simply connected and the dimension of the automorphism group is maximal, and also prove a gap theorem for the dimension of the automorphism group.

References in corpus (1)

• Centralizers of spin subalgebras

Cited by in corpus (4)

• Centralizers of spin subalgebras
• A note on the geometry and topology of almost even-Clifford Hermitian manifolds
• Local Geometry of Even Clifford Structures on Conformal Manifolds
• Spinorially Twisted Spin Structures. II: Twisted Pure Spinors, Special Riemannian Holonomy and Clifford Monopoles