# A Note on the L2-norm of the Second Fundamental Form of Algebraic Manifolds

Serdica Mathematical Journal (2010)

- Volume: 35, Issue: 1, page 67-74
- ISSN: 1310-6600

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topLoi, Andrea, and Zedda, Michela. "A Note on the L2-norm of the Second Fundamental Form of Algebraic Manifolds." Serdica Mathematical Journal 35.1 (2010): 67-74. <http://eudml.org/doc/281381>.

@article{Loi2010,

abstract = {2000 Mathematics Subject Classification: 53C42, 53C55.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.},

author = {Loi, Andrea, Zedda, Michela},

journal = {Serdica Mathematical Journal},

keywords = {Kähler Metrics; Holomorphic Maps Into Projective Space; Algebraic Manifolds; Degree},

language = {eng},

number = {1},

pages = {67-74},

publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},

title = {A Note on the L2-norm of the Second Fundamental Form of Algebraic Manifolds},

url = {http://eudml.org/doc/281381},

volume = {35},

year = {2010},

}

TY - JOUR

AU - Loi, Andrea

AU - Zedda, Michela

TI - A Note on the L2-norm of the Second Fundamental Form of Algebraic Manifolds

JO - Serdica Mathematical Journal

PY - 2010

PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences

VL - 35

IS - 1

SP - 67

EP - 74

AB - 2000 Mathematics Subject Classification: 53C42, 53C55.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.

LA - eng

KW - Kähler Metrics; Holomorphic Maps Into Projective Space; Algebraic Manifolds; Degree

UR - http://eudml.org/doc/281381

ER -

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