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Kinematic formula and tube formula in space of constant curvature
Published online by Cambridge University Press: 20 January 2009
Abstract
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The Euler characteristic of an even dimensional submanifold in a space of constant curvature is given in terms of Weyl's curvature invariants. A derivation of Chern's kinematic formula in non-Euclidean space is completed. As an application of above results Weyl's tube formula about an odd-dimensional submanifold in a space of constant curvature is obtained.
- Type
- Research Article
- Information
- Proceedings of the Edinburgh Mathematical Society , Volume 33 , Issue 1 , February 1990 , pp. 79 - 88
- Copyright
- Copyright © Edinburgh Mathematical Society 1990
References
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