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A kinematic formula for integral invariant of degree 4 in real space form |
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| Authors: | De Shuo Jiang Jia Zu Zhou Fang Wei Chen |
| Institution: | 1. School of Mathematics & Information Science, Shangqiu Normal University, Shangqiu, 476000, P. R. China 2. School of Mathematical Sciences, Kaili University, Kaili, 556011, P. R. China 3. Southeast Guizhou Vocational College of Technology for Nationalities, Kaili, 556011, P. R. China 4. College of Mathematics and Statistics, Guizhou University of Finance and Economics, Guiyang, 550004, P. R. China |
| Abstract: | 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. |
| Keywords: | Kinematic formula homogeneous polynomial integral invariant real space form |
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