Kentaro Yano (1 March 1912 in Tokyo, Japan – 25 December 1993) was a mathematician working on differential geometry[2] who introduced the Bochner–Yano theorem.
Kentaro Yano | |
|---|---|
| 矢野健太郎 | |
| Born | March 1, 1912 |
| Died | December 25, 1993 (aged 81) |
| 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 | [Sur la théorie des espaces à connexion conforme Les espaces à connexion projective et la géométrie projective des "paths"[1]] (1938) |
| Doctoral advisor | Elie Cartan |
| Doctoral students | Tadashi Nagano |
| Other notable students | Shoshichi Kobayashi |
He also published a classical book about geometric objects (i.e., sections of natural fiber bundles) and Lie derivatives of these objects.
Publications edit
- 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[3]
- 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[4]
- Morio Obata (ed.): Selected papers of Kentaro Yano, North Holland 1982
- with Masahiro Kon: CR Submanifolds of Kählerian and Sasakian Manifolds, Birkhäuser 1983[5] 2012 reprint
- with Masahiro Kon: Structures on Manifolds, World Scientific 1984
References edit
- ^ "Kentaro Yano on Genealogy".
- ^ 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.