Kentaro Yano (mathematician)

Japanese mathematician

Kentaro Yano
矢野健太郎
Born	(1912-03-01)March 1, 1912
Died	December 25, 1993(1993-12-25) (aged 81) Tokyo, Japan
Nationality	Japanese
Citizenship	Japan
Alma mater	University of Tokyo, Japan
Scientific career
Fields	Differential geometry, Riemannian Geometry
Institutions	University of Tokyo, Tokyo Institute of Technology
Thesis	(1938)
Doctoral advisor	Elie Cartan
Doctoral students	Tadashi Nagano
Other notable students	Shoshichi Kobayashi

Kentaro Yano (1 March 1912 in Tokyo, Japan – 25 December 1993) was a mathematician working on differential geometry who introduced the Bochner–Yano theorem.

He also published a classical book about geometric objects (i.e., sections of natural fiber bundles) and Lie derivatives of these objects.

Publications

Les espaces à connexion projective et la géométrie projective des paths, Iasi, 1938
Geometry of Structural Forms (Japanese), 1947
Groups of Transformations in Generalized Spaces, Tokyo, Akademeia Press, 1949
with Salomon Bochner: Curvature and Betti Numbers, Princeton University Press, Annals of Mathematical Studies, 1953
The Theory of Lie Derivatives and its Applications. North-Holland. 1957. ISBN 978-0-7204-2104-0. 2020 reprint
Differential geometry on complex and almost complex spaces, Macmillan, New York 1965
Integral formulas in Riemannian Geometry, Marcel Dekker, New York 1970
with Shigeru Ishihara: Tangent and cotangent bundles: differential geometry, New York, M. Dekker 1973
with Masahiro Kon: Anti-invariant submanifolds, Marcel Dekker, New York 1976
Morio Obata (ed.): Selected papers of Kentaro Yano, North Holland 1982
with Masahiro Kon: CR Submanifolds of Kählerian and Sasakian Manifolds, Birkhäuser 1983 2012 reprint
with Masahiro Kon: Structures on Manifolds, World Scientific 1984

Kentaro Yano at the Mathematics Genealogy Project
Suceavă, Bogdan D. (2021). "The Cartan connection: sketches for a portrait of Kentaro Yano". Creative Mathematics and Informatics. 29 (2): 237–242. doi:10.37193/cmi.2020.02.15.
Boothby, William B. (1954). "Review: Curvature and Betti numbers, by K. Yano and S. Bochner". Bull. Amer. Math. Soc. 60 (4): 404–405. doi:10.1090/s0002-9904-1954-09834-8.
Reilly, Robert C. (1979). "Review: Anti-invariant subspaces, by K. Yano and M. Kon". Bull. Amer. Math. Soc. 1 (4): 627–632. doi:10.1090/s0273-0979-1979-14642-1.
Chen, Bang-Yen (1983). "Review: CR submanifolds of Kaehlerian and Sasakian manifolds, by K. Yano and M. Kon". Bull. Amer. Math. Soc. (N.S.). 9 (3): 361–364. doi:10.1090/s0273-0979-1983-15209-6.