Results 71 to 80 of about 3,777 (153)
LIGHTLIKE HYPERSURFACES OF AN INDEFINITE KAEHLER MANIFOLD
Communications of the Korean Mathematical Society, 2012 Summary: We study the geometry of real light-like hypersurfaces of an indefinite Kähler manifold \(\bar{M}\). We provide new results on such a real light-like hypersurface \(M\) by using the \(F\)-structure of \(M\) induced by the almost complex structure \(J\) of \(\bar{M}\).
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AxiomsThis paper introduces the notion of screen generic lightlike submanifolds (SGLSs) of an indefinite Kaehler statistical manifold equipped with a quarter-symmetric non-metric (QSNM) connection, supported by suitable illustrations.
Vandana Gupta +3 more
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A counterexample to the Hodge conjecture for Kaehler varieties
, 2001 Summary: The Hodge conjecture asks whether rational Hodge classes on a smooth projective manifolds are generated by the classes of algebraic subsets, or equivalently by Chern classes of coherent sheaves. On a compact Kaehler manifold, Hodge conjecture is
Voisin, Claire
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Kaehler manifolds and supersymmetry
, 2003 Lectures at the 43rd Cracow School of Theoretical Physics (Zakopane, june 2003); 21 pages, 2 ...
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A splitting theorem for extremal Kaehler metrics
, 2012 Based on recent work of S. K. Donaldson and T. Mabuchi, we prove that any extremal Kaehler metric in the sense of E. Calabi, defined on the product of polarized compact complex projective manifolds is the product of extremal Kaehler metrics on each ...
Apostolov, Vestislav, Huang, Hongnian
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PeV-Scale SUSY and Cosmic Strings from F-Term Hybrid Inflation
UniverseWe consider F-term hybrid inflation (FHI) and SUSY breaking in the context of a B−L extension of the MSSM that largely respects a global U(1)R symmetry.
Constantinos Pallis
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Entanglement entropy and hyperuniformity of Ginibre and Weyl-Heisenberg ensembles. [PDF]
Lett Math Phys, 2023 Abreu LD.
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Complex Osserman Kaehler Manifolds
, 2010 Let H be a 4 dimensional almost Hermitian manifold which satisfies the Kaehler identity. Then H is complex Osserman if and only if H has constant holomorphic sectional curvature. We also classify in arbitrary dimensions all the complex Osserman Kaehler manifolds which do not have 3 eigenvalues.
Brozos-Vazquez, Miguel, Gilkey, Peter
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TOTALLY UMBILICAL CR-SUBMANIFOLDS OF A KAEHLER MANIFOLD
Tamkang Journal of Mathematics, 1993 In the present paper we study totally umbilical CR-submanifolds of a Kaehler manifold. A classification theorem for a $D^\perp$-totally umbilical CR-submanifold is proved. The conditions under which a CR- submanifold becomes a CR-product are obtained, and finally a theorem for a CR-submanifold to be a proper CR-product is also ...
Khursheed Haider, S. M. +2 more
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