Almost even-Clifford hermitian manifolds with large automorphism group

TL;DR

This paper classifies simply connected almost even-Clifford hermitian manifolds with maximal automorphism groups and establishes a gap theorem for their automorphism group dimensions.

Contribution

It provides a classification of these manifolds under maximal automorphism group dimension and proves a new gap theorem.

Findings

Classification of simply connected manifolds with maximal automorphism groups

Proof of a gap theorem for automorphism group dimensions

Identification of conditions for large automorphism groups

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.