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Kinematic formula and tube formula in space of constant curvature

Published online by Cambridge University Press:  20 January 2009

Sungyun Lee
Sungyun Lee
Affiliation:
Department Of Mathematics and Mathematics Research Center, Korea Institute of Technology, Daejeon, 305-701, Korea
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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

REFERENCES

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