Volumes of tubes about complex submanifolds of complex projective space

Volumes of tubes about complex submanifolds of complex projective space
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关于复射影空间的复子流形的管体积

DOI:
10.1090/s0002-9947-1985-0800247-2
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发表时间:
1985
影响因子:
1.3
通讯作者:
A. Gray
A. Gray
中科院分区:
数学1区
文献类型:
--
作者:
A. Gray

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.给出了常全纯截面曲率空间中Kahler子流形周围的管的体积的陈类的简单公式。给出了推广这些公式的一个比较定理。研究了复射影空间中关于完全交的管。
. Simple formulas in terms of Chern classes are given for the volume of a tube about a Kahler 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.