Kinematic formulas for Weyl's curvature invariants of submanifolds in complex projective space

Author:
Tōru Ishihara

Journal:
Proc. Amer. Math. Soc. **97** (1986), 483-487

MSC:
Primary 53C65; Secondary 53C40, 53C55

DOI:
https://doi.org/10.1090/S0002-9939-1986-0840634-6

MathSciNet review:
840634

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Abstract | References | Similar Articles | Additional Information

Abstract: It is shown in [**5**] that Weyl's curvature invariants can be expressed by , where is a -dimensional Kähler submanifold with compact closure in a space of constant holomorphic curvature, is the th Chern form of and is the Kähler form of . In this paper, we shall show that each is expressible in terms of and . Using this result, we get kinematic formulas for from Shifrin's [**8**] kinematic formulas for Chern classes.

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Additional Information

DOI:
https://doi.org/10.1090/S0002-9939-1986-0840634-6

Keywords:
Kinematic formulas,
Chern forms,
Weyl's curvature invariants

Article copyright:
© Copyright 1986
American Mathematical Society