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Volumes of tubes about complex submanifolds of complex projective space

Author: Alfred Gray
Journal: Trans. Amer. Math. Soc. 291 (1985), 437-449
MSC: Primary 53C65; Secondary 53C40
MathSciNet review: 800247
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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.

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