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The kinematic formula in Riemannian homogeneous spaces

Author: Ralph Howard
Publisher: Providence, R.I. : American Mathematical Society, ©1993.
Series: Memoirs of the American Mathematical Society, no. 509.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:

Shows that much of classical integral geometry can be derived from the coarea formula by some elementary techniques. This book generalizes much of classical integral geometry from spaces of constant  Read more...

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Genre/Form: Electronic books
Additional Physical Format: Print version:
Howard, Ralph, 1950-
Kinematic formula in Riemannian homogeneous spaces /
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Ralph Howard
ISBN: 9781470400866 1470400863
OCLC Number: 851087278
Description: 1 online resource (vi, 69 pages).
Contents: 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.
Series Title: Memoirs of the American Mathematical Society, no. 509.
Responsibility: Ralph Howard.

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