Kentaro Yano (1 March 1912 in Tokyo, Japan – 25 December 1993) was a mathematician working on
differential geometry who introduced the
Bochner–Yano theorem
In mathematics, Salomon Bochner proved in 1946 that any Killing vector field of a compact Riemannian manifold with negative Ricci curvature must be zero. Consequently the isometry group of the manifold must be finite. Discussion
The theorem is a ...
.
He also published a classical book about geometric objects (i.e., sections of
natural fiber bundles) and
Lie derivative
In differential geometry, the Lie derivative ( ), named after Sophus Lie by Władysław Ślebodziński, evaluates the change of a tensor field (including scalar functions, vector fields and one-forms), along the flow defined by another vector fi ...
s 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
*
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
References
External links
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{{DEFAULTSORT:Yano, Kentaro
Differential geometers
20th-century Japanese mathematicians
1993 deaths
1912 births