Some four-dimensional almost hypercomplex pseudo-Hermitian manifolds

TL;DR

This paper constructs numerous examples of four-dimensional manifolds with almost hypercomplex pseudo-Hermitian structures and characterizes them using their linear invariants, advancing understanding of such geometric structures.

Contribution

It provides explicit constructions and classifications of four-dimensional almost hypercomplex pseudo-Hermitian manifolds based on their linear invariants.

Findings

Multiple explicit examples of 4-manifolds with the structure

Characterization of manifolds via linear invariants

Enhanced understanding of geometric properties of these manifolds

Abstract

In this paper, a lot of examples of four-dimensional manifolds with an almost hypercomplex pseudo-Hermitian structure are constructed in several explicit ways. The received 4-manifolds are characterized by their linear invariants in the known aspects.