A Kinematic Formula for Integral Invariant of Degree 4 in Real Space Form

作者：Jiang, De Shuo^*; Zhou, Jia Zu; Chen, Fang Wei

来源：Acta Mathematica Sinica-English Series, 2014, 30(8): 1465-1476.

DOI：10.1007/s10114-014-1266-0

• Kinematic formula
• homogeneous polynomial
• integral invariant
• real space form

In this paper, kinematic formulae in a real space form are investigated. A kinematic formula for homogeneous polynomial of degree 4 on the second fundamental forms in a real space form is obtained. The formula obtained is a concrete form of the result of Howard and the analogue of the known formula of Chen and Zhou.

• 出版日期2014-8
• 单位贵州财经大学; 商丘师范学院; 凯里学院