Results 1 to 10 of about 82 (79)
Mathematics, 2021 We study the semi-Riemannian geometry of the foliation F of an indefinite locally conformal Kähler (l.c.K.) manifold M, given by the Pfaffian equation ω=0, provided that ∇ω=0 and c=∥ω∥≠0 (ω is the Lee form of M).
Elisabetta Barletta, Sorin Dragomir
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Infinitesimal Transformations of Locally Conformal Kähler Manifolds
Mathematics, 2019 The article is devoted to infinitesimal transformations. We have obtained that LCK-manifolds do not admit nontrivial infinitesimal projective transformations. Then we study infinitesimal conformal transformations of LCK-manifolds.
Yevhen Cherevko +2 more
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Locally conformal symplectic nilmanifolds with no locally conformal Kähler metrics
Complex Manifolds, 2017 We report on a question, posed by L. Ornea and M. Verbitsky in [32], about examples of compact locally conformal symplectic manifolds without locally conformal Kähler metrics.
Giovanni Bazzoni, Juan C Marrero
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Some Properties of Curvature Tensors and Foliations of Locally Conformal Almost Kähler Manifolds
International Journal of Mathematics and Mathematical Sciences, 2021 We investigate a class of locally conformal almost Kähler structures and prove that, under some conditions, this class is a subclass of almost Kähler structures.
Ntokozo Sibonelo Khuzwayo +1 more
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On Generic submanifolds of a locally conformal Kahler manifold with parallel canonical structures
International Journal of Mathematics and Mathematical Sciences, 1995 The study of CR-submanifolds of a Kähler manifold was initiated by Bejancu [1]. Since then many papers have appeared on CR-submanifolds of a Kähler manifold.
M. Hasan shahid, A. Sharfuddin
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The Concircular Curvature Tensor Of The Locally Conformal Kahler Manifold
Tikrit Journal of Pure Science, 2019 In this research, we are calculated components conharmonic curvature tensor in some aspects Hermeation manifolding in particular of the Locally Conformal Kahler manifold.
Ali Abdalmajed. Shihab +1 more
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Example of a six-dimensional LCK solvmanifold
Complex Manifolds, 2017 The purpose of this paper is to prove that there exists a lattice on a certain solvable Lie group and construct a six-dimensional locally conformal Kähler solvmanifold with non-parallel Lee form.
Sawai Hiroshi
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Locally conformally Kähler solvmanifolds: a survey
Complex Manifolds, 2019 A Hermitian structure on a manifold is called locally conformally Kähler (LCK) if it locally admits a conformal change which is Kähler. In this survey we review recent results of invariant LCK structures on solvmanifolds and present original results ...
Andrada A., Origlia M.
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Journal of High Energy Physics, 2017 We define a holographic dual to the Donaldson-Witten topological twist of N=2 $$ \mathcal{N}=2 $$ gauge theories on a Riemannian four-manifold. This is described by a class of asymptotically locally hyperbolic solutions to N=4 $$ \mathcal{N}=4 $$ gauged ...
Pietro Benetti Genolini +2 more
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On locally conformal Kähler space forms
International Journal of Mathematics and Mathematical Sciences, 1985 An m-dimensional locally conformal Kähler manifold (l.c.K-manifold) is characterized as a Hermitian manifold admitting a global closed l-form αλ (called the Lee form) whose structure (Fμλ,gμλ) satisfies ∇νFμλ=−βμgνλ+βλgνμ−αμFνλ+αλFνμ, where ∇λ denotes ...
Koji Matsumoto
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