02475nam 2200541 450 991048058380332120170816143331.01-4704-0086-3(CKB)3360000000464693(EBL)3113763(SSID)ssj0000889023(PQKBManifestationID)11449080(PQKBTitleCode)TC0000889023(PQKBWorkID)10875507(PQKB)11498367(MiAaPQ)EBC3113763(PPN)19541392X(EXLCZ)99336000000046469320140902h19931993 uy 0engur|n|---|||||txtccrThe kinematic formula in Riemannian homogeneous spaces /Ralph HowardProvidence, Rhode Island :American Mathematical Society,1993.©19931 online resource (82 p.)Memoirs of the American Mathematical Society,0065-9266 ;Volume 106, Number 509"November 1993, Volume 106, Number 509 (fourth of 6 numbers)."0-8218-2569-0 ""Contents""; ""1. Introduction""; ""2. The Basic Integral Formula for Submanifolds of a Lie Group""; ""3. Poincare's Formula in Homogeneous Spaces""; ""Appendix: Cauchy-Crofton Type Formulas and Invariant Volumes""; ""4. Integral Invariants of Submanifolds of Homogeneous Spaces, The Kinematic Formula, and the Transfer Principle""; ""Appendix: Crofton Type Kinematic Formulas""; ""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""; ""Appendix: Fibre Integrals and the Smooth Coarea Formula""; ""References""Memoirs of the American Mathematical Society ;Volume 106, Number 509.Integral geometryRiemannian manifoldsElectronic books.Integral geometry.Riemannian manifolds.516.3/73Howard Ralph1950-864992MiAaPQMiAaPQMiAaPQBOOK9910480583803321The kinematic formula in Riemannian homogeneous spaces1930651UNINA