TY - BOOK AU - Howard,Ralph TI - The kinematic formula in Riemannian homogeneous spaces T2 - Memoirs of the American Mathematical Society, SN - 9781470400866 (online) AV - QA3QA649 .A57 no. 509 U1 - 510 s516.3/73 20 PY - 1993/// CY - Providence, R.I. PB - American Mathematical Society KW - Integral geometry KW - Riemannian manifolds N1 - Includes bibliographical references; 1. Introduction; 2. The basic integral formula for submanifolds of a Lie group; 3. Poincar�e'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; Access is restricted to licensed institutions; Electronic reproduction; Providence, Rhode Island; American Mathematical Society; 2012 UR - http://www.ams.org/memo/0509 UR - http://dx.doi.org/10.1090/memo/0509 ER -