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The kinematic formula in Riemannian homogeneous spaces
About this Title
Ralph Howard
Publication: Memoirs of the American Mathematical Society
Publication Year:
1993; Volume 106, Number 509
ISBNs: 978-0-8218-2569-3 (print); 978-1-4704-0086-6 (online)
DOI: https://doi.org/10.1090/memo/0509
MathSciNet review: 1169230
MSC: Primary 53C65
Table of Contents
Chapters
- 1. Introduction
- 2. The basic integral formula for submanifolds of a Lie group
- 3. Poincaré’s formula in homogeneous spaces
- 4. Integral invariants of submanifolds of homogeneous spaces, the kinematic formula, and the transfer principle
- 5. The second fundamental form of an intersection
- 6. Lemmas and definitions
- 7. Proof of the kinematic formula and the transfer principle
- 8. Spaces of constant curvature
- 9. An algebraic characterization of the polynomials in the Weyl tube formula
- 10. The Weyl tube formula and the Chern-Federer kinematic formula