- Current Issue - Ahead of Print Articles - All Issues - Search - Open Access - Information for Authors - Downloads - Guideline - Regulations ㆍPaper Submission ㆍPaper Reviewing ㆍPublication and Distribution - Code of Ethics - For Authors ㆍOnlilne Submission ㆍMy Manuscript - For Reviewers - For Editors
 Scalar curvature of contact $CR$-submanifolds in an odd-dimensional unit sphere Bull. Korean Math. Soc. 2010 Vol. 47, No. 3, 541-549 https://doi.org/10.4134/BKMS.2010.47.3.541Published online May 1, 2010 Hyang Sook Kim and Jin Suk Pak Inje University and Kyungpook National University Abstract : In this paper we derive an integral formula on an $(n+1)$-dimensional, compact, minimal contact $CR$-submanifold $M$ of $(n-1)$ contact $CR$-dimension immersed in a unit $(2m+1)$-sphere $S^{2m+1}$. Using this integral formula, we give a sufficient condition concerning with the scalar curvature of $M$ in order that such a submanifold $M$ is to be a generalized Clifford torus. Keywords : Sasakian manifold, odd-dimensional unit sphere, contact $CR$-submanifold, scalar curvature MSC numbers : 53C40, 53C15 Downloads: Full-text PDF