Kentaro Yano (mathematician)
Kentaro Yano (1 March 1912 in Tokyo, Japan – 25 December 1993) was a mathematician working on differential geometry who introduced the Bochner–Yano theorem.
Kentaro Yano | |
---|---|
Born | March 1, 1912 |
Died | December 25, 1993 81) | (aged
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 |
Influences | Gaston Darboux, Élie Cartan. |
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]
- The Theory of Lie Derivatives and its Applications. North-Holland. 1957. ISBN 978-0-7204-2104-0.
- 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]
- with Masahiro Kon: Structures on Manifolds, World Scientific 1984
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References
- "Kentaro Yano on Genealogy".
- 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.
External links
- Kentaro Yano at the Mathematics Genealogy Project
- O'Connor, John J.; Robertson, Edmund F., "Kentaro Yano", MacTutor History of Mathematics archive, University of St Andrews.
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