Volumes of tubes about complex submanifolds of complex projective space-Reference-Cited by-同舟云学术

Volumes of tubes about complex submanifolds of complex projective space

Published:1985 Issue:2 Volume:291 Page:437-449
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Gray Alfred

Abstract

Simple formulas in terms of Chern classes are given for the volume of a tube about a Kähler submanifold of a space of constant holomorphic sectional curvature. A comparison theorem which generalizes these formulas is also given. Tubes about complete intersections in complex projective space are studied in detail.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/1985-291-02/S0002-9947-1985-0800247-2/S0002-9947-1985-0800247-2.pdf

Reference19 articles.

1. Pure and Applied Mathematics, Vol. XV;Bishop, Richard L.,1964

2. Lecture Notes in Mathematics, Vol. 194;Berger, Marcel,1971

3. The volume of a tube in complex projective space;Flaherty, F. J.;Illinois J. Math.,1972

4. A generalization of F. Schur’s theorem;Gray, Alfred;J. Math. Soc. Japan,1969

5. Chern numbers and curvature;Gray, Alfred;Amer. J. Math.,1978

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