Two-numbers and their applications - A survey
Differential Geometry
2018-05-15 v1 Algebraic Topology
Group Theory
Abstract
The notion of two-numbers of connected Riemannian manifolds was introduced about 35 years ago in [Un invariant geometrique riemannien, C. R. Acad. Sci. Paris Math. 295 (1982), 389--391] by B.-Y. Chen and T. Nagano. Later, two-numbers have been studied by a number of mathematicians and it was then proved that two-numbers related closely with several important areas in mathematics. The main purpose of this article is to survey on two-numbers and their applications. At the end of this survey, we present several open problems and conjectures on two-numbers.
Cite
@article{arxiv.1805.04796,
title = {Two-numbers and their applications - A survey},
author = {Bang-Yen Chen},
journal= {arXiv preprint arXiv:1805.04796},
year = {2018}
}
Comments
33 pages, to be published in Bull. Belg. Math. Soc. Simon Stevin