Bang-Yen Chen

Bang-Yen Chen is a Taiwanese mathematician who works mainly on differential geometry and related subjects. He was a University Distinguished Professor of Michigan State University from 1990 to 2012. After 2012 he became University Distinguished Professor Emeritus.

Bang-Yen Chen
photo by Bang-yen Chen
Born(1943-10-03)October 3, 1943
Toucheng Township, Yilan County, Taiwan
NationalityTaiwanese
CitizenshipUnited States
Alma materTamkang University, National Tsing Hua University, University of Notre Dame
Known for"Chen inequalities", "Chen invariants (or δ-invariants)", "Chen's conjectures", "Chen surface", "Chen-Ricci inequality", "Chen submanifold", "Chen equality", "Submanifolds of finite type", "(M+,M-)-method for compact symmetric spaces & 2-numbers of Riemannian manifolds (joint with T. Nagano)", "Slant submanifolds".
AwardsHonorary Socio Corrispondanti, Accademia Peloriana dei Pericolanti, Italy (1989). Tamkang Golden Eagle Award (淡江金鷹獎), Taiwan (1991). Simon Stevin Prize in Geometry from Simon Stevin Institute in Netherland (2008). University Distinguished Alumni Award from Tamkang University (1991).
Scientific career
FieldsDifferential geometry, Riemannian Geometry, Geometry of submanifolds
InstitutionsMichigan State University
ThesisOn the G-total curvature and topology of immersed manifolds
Doctoral advisorTadashi Nagano
Doctoral studentsBogdan Suceavă
InfluencesÉlie Cartan, Shiing-Shen Chern, Tadashi Nagano, Tominosuke Otsuki, Kentaro Yano.
Websitewww.researchgate.net/profile/Bang_Yen_Chen

Biography

Bang-Yen Chen (陳邦彦) is a Taiwanese-American mathematician. He received his B.S. from Tamkang University in 1965 and his M.Sc from National Tsing Hua University in 1967. He obtained his Ph.D. degree from University of Notre Dame in 1970 under the supervision of Tadashi Nagano.[1] [2]

Bang-Yen Chen taught at Tamkang University between 1966 and 1968, and at the National Tsing Hua University in the academic year 1967–1968. After his doctoral years (1968-1970) at University of Notre Dame, he joined the faculty at Michigan State University as a research associate from 1970–1972, where he became associate professor in 1972, and full professor in 1976. He was presented with the title of University Distinguished Professor in 1990. After 2012 he became University Distinguished Professor Emeritus.[3] [4]

Bang-Yen Chen is the author of over 500 works including 12 books, mainly in differential geometry and related subjects.[5][6] His works have been cited over 27,000 times.[7]

On October 20–21, 2018, at the 1143rd Meeting of the American Mathematical Society held at Ann Arbor, Michigan, one of the Special Sessions was dedicated to Bang-Yen Chen's 75th birthday.[8] [9]

Bibliography

His notable work includes:[10][11]

Books
  • Geometry of submanifolds, Marcel Dekker, NY, 1973.
  • Geometry of submanifolds and its applications, Science University of Tokyo, Japan, 1981.
  • Total mean curvature and submanifolds of finite type, World Scientific, 1984.
  • Finite type submanifolds and generations, University of Rome, Italy, 1985.
  • A new approach to compact symmetric spaces and applications - A report on joint work with Professor T. Nagano, Katholieke Universiteit Leuven, Belgium, 1987.
  • Geometry of slant submanifolds, Katholieke Universiteit Leuven, Belgium 1990.
  • Laplace transformations of submanifolds, KU Leuven and KU Brussel, Belgium 1995 (joint with Leopold Verstraelen).
  • Pseudo-Riemanniana geometry, δ-invariants and applications, World Scientific, NJ, 2011.
  • Total mean curvature and submanifolds of Finite Type, 2nd Ed., World Scientific, NJ, 2015.
  • Differential geometry of warped product manifolds and submanifolds, World Scientific, NJ, 2017.
  • Geometry of submanifolds, Dover Publication, NY, 2019.
  • Biharmonic submanifolds and biharmonic maps in Riemannian geometry, World Scientific, NJ, 2020 (joint with Ye-lin Ou).

Articles
  • On the total curvature of immersed manifolds, I, II, III, Amer. J. Math. 93 (1971), 148–62; ibid 94 (1972), 799–809; ibid 95 (1973), 636–642.
  • Totally geodesic submanifolds of symmetric spaces, I, II, Duke Math. J. 44 (1977), 745–755; ibid, 45 (1978), 405-425 (joint with T. Nagano).
  • A Riemannian geometric invariant and its applications to a problem of Borel and Serre, Trans. Amer. Math. Soc. 308 (1988), 273-297 (joint with T. Nagano).
  • Some new obstructions to minimal and Lagrangian isometric immersions, Japan. J. Math. 26 (2000), 105–127.
  • Realization of Robertson-Walker spacetimes as affine hypersurfaces, J. Phys. A 40 (2007), no. 15, 4241–4250.
  • Marginally trapped surfaces in Lorentzian space forms with positive relative nullity, Classical Quantum Gravity 24 (2007), no. 3, 551-563 (joint with J. Van der Veken).
  • Solutions to homogeneous Monge-Ampère equations of homothetic functions and their applications to production models in economics, J. Math. Anal. Appl. 411 (2014), 223–229.
  • A simple characterization of generalized Robertson-Walker spacetimes, Gen. Relativity & Gravitation 46 (2014), Article 1833.
  • Two-numbers and their applications - a survey, Bull. Belg. Math. Soc. Simon Stevin, 25 (2018), 565–596.
  1. "Bang-Yen Chen's Ph.D. thesis".
  2. "Bang-Yen Chen on Genealogy Project".
  3. "Bang-Yen Chen on MSU domain".
  4. "Bang-Yen Chen on Google Scholar".
  5. "Bang-Yen Chen on Zentralblatt".
  6. "Bang-Yen Chen on Research Gate".
  7. "Bang-Yen Chen on ResearchGate".
  8. "American Mathematical Society, Meeting No. 1143".
  9. "Notices of AMS" (PDF).
  10. "Bang-Yen Chen on Zentralblatt".
  11. "Bang-Yen Chen on Research Gate".
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