Translator Disclaimer
december 2018 Two-numbers and their applications - A survey
Bang-Yen Chen
Bull. Belg. Math. Soc. Simon Stevin 25(4): 565-596 (december 2018). DOI: 10.36045/bbms/1546570911

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.

Citation

Download Citation

Bang-Yen Chen. "Two-numbers and their applications - A survey." Bull. Belg. Math. Soc. Simon Stevin 25 (4) 565 - 596, december 2018. https://doi.org/10.36045/bbms/1546570911

Information

Published: december 2018
First available in Project Euclid: 4 January 2019

zbMATH: 07038170
MathSciNet: MR3896273
Digital Object Identifier: 10.36045/bbms/1546570911

Subjects:
Primary: 00-02
Secondary: 14-02 , 22-02 , 53-02 , 58-02

Keywords: $(M_+,M_-)$-theory , 2-rank , antipodal set , arithmetic distance , Betti number , Euler number , homology , homotopy , ompact symmetric space , Two-number

Rights: Copyright © 2018 The Belgian Mathematical Society

JOURNAL ARTICLE
32 PAGES

This article is only available to subscribers.
It is not available for individual sale.
+ SAVE TO MY LIBRARY

SHARE
Vol.25 • No. 4 • december 2018
Back to Top