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Title: A Note on the L2-norm of the Second Fundamental Form of Algebraic Manifolds
Authors: Loi, Andrea
Zedda, Michela
Keywords: Kähler Metrics
Holomorphic Maps Into Projective Space
Algebraic Manifolds
Issue Date: 2010
Publisher: Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Citation: Serdica Mathematical Journal, Vol. 35, No 1, (2010), 67p-74p
Abstract: 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.
Description: 2000 Mathematics Subject Classification: 53C42, 53C55.
ISSN: 1310-6600
Appears in Collections:Volume 36, Number 1

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