Totally real submanifolds in a complex projective space

Liu Ximin

International Journal of Mathematics and Mathematical Sciences, 1999, vol. 22, 1-4

Abstract:

In this paper, we establish the following result: Let M be an n -dimensional complete totally real minimal submanifold immersed in C P n with Ricci curvature bounded from below. Then either M is totally geodesic or inf r ≤ ( 3 n + 1 ) ( n − 2 ) / 3 , where r is the scalar curvature of M .

Date: 1999
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:756763

DOI: 10.1155/S0161171299222053

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