Quasi-isometry between two almost contact metric manifolds
Differential Geometry
2025-11-03 v2
Abstract
In this paper the notion of quasi-isometry between two Riemannian manifolds has been introduced. This idea is also imposed to study quasi-isometry between two almost contact metric manifolds. Moving further, some curvature properties of two quasi-isometrically embedded almost contact metric manifolds, contact metric manifolds and Sasakian manifolds are investigated. Next, an illustrative example of a quasi-isometry between two Sasakian structures is constructed. Finally, a relation between the scalar curvature and the quasi-isometric constants for two quasi-isometric Riemannian manifolds has been established.
Keywords
Cite
@article{arxiv.2309.15429,
title = {Quasi-isometry between two almost contact metric manifolds},
author = {Arindam Bhattacharyya and Dipen Ganguly and Paritosh Ghosh and Sumanjit Sarkar},
journal= {arXiv preprint arXiv:2309.15429},
year = {2025}
}