Title: Kinematic formulas for integral invariants of degree two in real space forms

Authors: Hong Jae Kang, Takashi Sakai and Young Jin Suh

Issue: Volume 54 (2005), Issue 5, 1499-1520

Abstract: In this paper we investigate the kinematic formulas for submanifolds in real space forms, and we give explicit expressions of the kinematic formulas for integral invariants defined by invariant homogeneous polynomials of degree two on second fundamental forms in the sense of Howard, completely. They are actually certain extensions of the Chern-Federer kinematic formula and of the one by Chen.