A note on the geometry and topology of almost even-Clifford Hermitian manifolds

TL;DR

This paper investigates the structure groups of almost even-Clifford Hermitian manifolds, focusing on their geometric and topological properties, especially regarding the existence of Spin structures.

Contribution

It explicitly computes the structure groups of these manifolds and identifies conditions under which they admit Spin structures, advancing understanding of their geometric topology.

Findings

Computed structure groups for almost even-Clifford Hermitian manifolds

Identified conditions for the existence of Spin structures

Enhanced understanding of the topology of these manifolds

Abstract

We compute the structure groups of almost even-Clifford Hermitian manifolds and determine when such groups lead to Spin structures.