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
- 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
External links
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