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http://dx.doi.org/10.4134/CKMS.2003.18.2.309

ON SOME SEMI-INVARIANT SUBMANIFOLDS OF CODIMENSION 3 IN A COMPLEX PROJECTIVE SPACE  

Lee, Seong-Baek (Department of Mathematics Chosun University)
Kim, Soo-Jin (Department of Mathematics Chosun University)
Publication Information
Communications of the Korean Mathematical Society / v.18, no.2, 2003 , pp. 309-323 More about this Journal
Abstract
In this paper, We characterize a semi-invariant sub-manifold of codimension 3 satisfying ∇$\varepsilon$A = 0 in a complex projective space CP$\^$n+1/, where ∇$\varepsilon$A is the covariant derivative of the shape operator A in the direction of the distinguished normal with respect to the structure vector field $\varepsilon$.
Keywords
Semi-invariant submanifold; distinguished normal; shape operator; Hopf real hypersurface;
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