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Volumes of tubes about complex submanifolds of complex projective space

Authors :
Alfred Gray
Source :
Transactions of the American Mathematical Society. 291:437-449
Publication Year :
1985
Publisher :
American Mathematical Society (AMS), 1985.

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.

Subjects

Subjects :
Pure mathematics
Collineation
Applied Mathematics
General Mathematics
Projective line
Complex projective space
Duality (projective geometry)
Mathematical analysis
Projective space
Projective differential geometry
Quaternionic projective space
Pencil (mathematics)
Mathematics

Details

ISSN :
10886850 and 00029947
Volume :
291
Database :
OpenAIRE
Journal :
Transactions of the American Mathematical Society
Accession number :
edsair.doi...........9687dcf2d4ffb9657ad25c28101c28b9

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Authors Abstract Subjects Details