Kentaro Yano (mathematician) explained

Kentaro Yano
Native Name:	矢野健太郎
Birth Place:	1 March 1912
Death Place:	Tokyo, Japan
Citizenship:	Japan
Nationality:	Japanese
Fields:	Differential geometry, Riemannian Geometry
Workplaces:	University of Tokyo, Tokyo Institute of Technology
Alma Mater:	University of Tokyo, Japan
Thesis Title:	Les espaces à connexion projective et la géométrie projective des "paths"
Thesis Url:	Sur la théorie des espaces à connexion conforme
Thesis Year:	1938
Doctoral Advisor:	Elie Cartan
Doctoral Students:	Tadashi Nagano
Notable Students:	Shoshichi Kobayashi

Kentaro Yano (1 March 1912 in Tokyo, Japan – 25 December 1993) was a mathematician working on differential geometry^[1] 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^[2]
• Book: The Theory of Lie Derivatives and its Applications. North-Holland. 1957. 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^[3]
• Morio Obata (ed.): Selected papers of Kentaro Yano, North Holland 1982
• with Masahiro Kon: CR Submanifolds of Kählerian and Sasakian Manifolds, Birkhäuser 1983^[4] 2012 reprint
• with Masahiro Kon: Structures on Manifolds, World Scientific 1984

Notes and References

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