Professor Bang-Yen Chen: His Life and His Works

Year 2024, , 1 - 5, 23.04.2024

Bogdan Suceava

https://doi.org/10.36890/iejg.1464739

Abstract

We recall several pieces of information about Professor Bang-Yen Chen’s life, works, as well as the lasting impact of his creative outcome. Our essay could prove useful to anyone interested in the history of differential geometry in the recent six decades. With over 36,000 citations (as presently recorded by ResearchGate), the body of work created by Bang-Yen Chen yields a meaningful impact to the mathematical community, especially in the area of differential geometry.

Keywords

Bang-Yen Chen, differential geometry, Chen invariants

References

• [1] Chen, B.-Y.: Geometry of submanifolds, Marcel Dekker, New York (1973).
• [2] Chen, B.-Y.: Geometry of submanifolds and its applications. Science University of Tokyo (1981).
• [3] Chen, B.-Y.: Total mean curvature and submanifolds of finite type. Series in Pure Mathematics. 1. Singapore: World Scientific Publishing Co. XI (1984).
• [4] Chen, B.-Y.: Geometry of slant submanifolds. Leuven: Kath. Univ. Leuven, Dept. of Mathematics (1990).
• [5] Chen, B.-Y.: Some open problems and conjectures on submanifolds of finite type. Soochow J. Math. 17 (2) 169–188 (1991).
• [6] Chen, B.-Y.: Some pinching and classification theorems for minimal submanifolds. Arch. Math. 60 (6), 568–578 (1993). https://doi.org/10.1007/BF01236084
• [7] Chen, B.-Y.: Relations between Ricci curvature and shape operator for submanifolds with arbitrary codimensions. Glasg. Math. J. 41 (1), 33–41 (1999).
• [8] Chen, B.-Y.: Pseudo-Riemannian submanifolds, -invariants and Applications. World Scientific (2011).
• [9] Chen, B.-Y.: Total mean curvature and submanifolds of finite type. 2nd ed. Series in Pure Mathematics 27. World Scientific (2015).
• [10] Chen, B.-Y.: Differential geometry of warped product manifolds and submanifolds. World Scientific (2017).
• [11] Chen, B.-Y.: Geometry of submanifolds. Corrected reprint of the 1973 edition. Dover Publications (2019).
• [12] Ou, Y.-L., Chen, B.-Y.: Biharmonic submanifolds and biharmonic maps in Riemannian geometry. World Scientific (2020).
• [13] Van der Veken, J., Carriazo, A., Dimitric, I., Oh, Y. M., Suceav˘a, B. D., Vrancken, L. (eds.): Geometry of submanifolds. AMS special session in honor of Bang-Yen Chen’s 75th birthday, University of Michigan, Ann Arbor, Michigan, October 20–21, 2018. Providence, RI: American Mathematical Society (AMS). Contemporary Mathematics 756 (2020).
• [14] Van der Veken, J., Carriazo, A., Dimitri´c, I., Oh, Y. M., Suceav˘a, B. D., Vrancken, L.: Reflections on some research work of Bang- Yen Chen. In: Van der Veken, Joeri (ed.) et al., Geometry of submanifolds. AMS special session in honor of Bang-Yen Chen’s 75th birthday, University of Michigan, Ann Arbor, Michigan, October 20–21, 2018. Providence, RI: American Mathematical Society (AMS). Contemporary Mathematics 756, 1–12 (2020).