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An integral formula for the total mean curvature matrix
Affiliation:1. School of Mathematics and Statistics, Southwest University, Chongqing 400715, People''s Republic of China;2. College of Mathematics Science, Chongqing Normal University, Chongqing 401331, People''s Republic of China;3. Gaozhou Normal College, Guangdong University of Petrochemical Technology, Maoming 525200, People''s Republic of China
Abstract:The notion of total mean curvature matrix of a submanifold in Rn is defined. A kinematic integral formula for the total mean curvature matrix is proved.
Keywords:Ellipsoid  Total mean curvature matrix  Mean curvature vector  The quadratic form  Kinematic formula
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