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Totally real submanifolds in a complex projective space

Liu Ximin
1999 International Journal of Mathematics and Mathematical Sciences  
In this paper, we establish the following result: LetMbe ann-dimensional complete totally real minimal submanifold immersed inCPnwith Ricci curvature bounded from below. Then eitherMis totally geodesic orinf r≤(3n+1)(n−2)/3, whereris the scalar curvature ofM.
doi:10.1155/s0161171299222053 fatcat:kojdh5h7z5aipntck5zuji6qqi