Geodesic
A Note on the L2-norm of the Second Fundamental Form of Algebraic Manifolds
Serdica Mathematical Journal, Tome 35 (2010) no. 1, pp. 67-74.

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Let M f → CP^n be an algebraic manifold of complex dimension d and let σf be its second fundamental form. In this paper we address the following conjecture, which is the analogue of the one stated by M. Gromov for smooth immersions: ... We prove the conjecture in the following three cases: (i) d = 1; (ii) M is a complete intersection; (iii) the scalar curvature of M is constant.
Keywords: Kähler Metrics, Holomorphic Maps Into Projective Space, Algebraic Manifolds, Degree 
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Loi, Andrea; Zedda, Michela. A Note on the L2-norm of the Second Fundamental Form of Algebraic Manifolds. Serdica Mathematical Journal, Tome 35 (2010) no. 1, pp. 67-74. http://geodesic.mathdoc.fr/item/SMJ2_2010_35_1_a3/