Scalar curvature of <Emphasis Type="Italic">QR</Emphasis>-submanifolds with maximal <Emphasis Type="Italic">QR</Emphasis>-dimension in a quaternionic projective space |
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| Authors: | Hyang Sook Kim Jin Suk Pak |
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| Institution: | 1.Department of Computational Mathematics, School of Computer Aided Science, Institute of Basic Science,Inje University,Gimhae,Korea;2.Department of Education,Daegu University,Kyongsan,Korea |
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| Abstract: | In this paper we derive an integral formula on an n-dimensional, compact, minimal QR-submanifoldM of (p−1) QR-dimension immersed in a quaternionic projective space QP
(n+p)/4. 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 tube over a quaternionic projective space. |
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