On decomposable LCP structures

TL;DR

This paper introduces decomposable locally conformally product (LCP) manifolds and characterizes those constructed as quotients of Riemannian Lie groups by co-compact lattices.

Contribution

It defines the concept of decomposable LCP manifolds and provides a classification for those arising from Riemannian Lie groups with co-compact lattices.

Findings

Characterization of decomposable LCP manifolds on quotients of Riemannian Lie groups

Identification of conditions for manifolds to be locally conformally product

New insights into the structure of LCP manifolds

Abstract

We introduce the notion of decomposable locally conformally product (LCP) manifolds and characterize those which are defined on quotients of Riemannian Lie groups by co-compact lattices.