Results 1 to 10 of about 1,268 (101)

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.
doaj   +1 more source

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, Volodymyr Berezovski, Irena Hinterleitner, Dana Smetanová   +3 more
doaj   +1 more source

Instantons on conical half-flat 6-manifolds [PDF]

, 2015
We present a general procedure to construct 6-dimensional manifolds with SU(3)-structure from SU(2)-structure 5-manifolds. We thereby obtain half-flat cylinders and sine-cones over 5-manifolds with Sasaki-Einstein SU(2)-structure.
Bunk, Severin, Lechtenfeld, Olaf, Popov, Alexander D., Sperling, Marcus   +3 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
doaj   +1 more source

On gauged linear sigma models with torsion [PDF]

, 2015
We study a broad class of two dimensional gauged linear sigma models (GLSMs) with off-shell N=(2,2) supersymmetry that flow to nonlinear sigma models (NLSMs) on noncompact geometries with torsion.
Crichigno, P. Marcos, Roček, Martin
core   +2 more sources

Universal RG Flows Across Dimensions and Holography [PDF]

, 2017
We study RG flows between superconformal field theories living in different spacetime dimensions which exhibit universal properties, independent of the details of the UV and IR theories.
Bobev, Nikolay, Crichigno, P. Marcos
core   +2 more sources

LCK rank of locally conformally Kahler manifolds with potential

, 2016
An LCK manifold with potential is a compact quotient of a Kahler manifold $X$ equipped with a positive Kahler potential $f$, such that the monodromy group acts on $X$ by holomorphic homotheties and multiplies $f$ by a character.
Ornea, Liviu, Verbitsky, Misha
core   +1 more source

Kähler Magnetic Curves in Conformally Euclidean Schwarzschild Space

Cumhuriyet Science Journal
In this paper, we study the magnetic curves on a Kähler manifold which is conformally equivalent to Euclidean Schwarzschild space. We show that Euclidean Schwarzschild space is locally conformally Kähler and transform it into a Kähler space by applying a
Özgür Kelekçi
doaj   +1 more source

Twisted holomorphic symplectic forms

, 2015
We show that a compact Kahler manifold admitting a nondegenerate holomorphic 2-form valued in a line bundle is a finite cyclic cover of a hyperkahler manifold. With respect to the connection induced by the locally hyperkahler metric, the form is parallel.
Istrati, Nicolina
core   +1 more source

Planar maps, circle patterns and 2d gravity [PDF]

, 2013
Via circle pattern techniques, random planar triangulations (with angle variables) are mapped onto Delaunay triangulations in the complex plane. The uniform measure on triangulations is mapped onto a conformally invariant spatial point process.
David, Francois, Eynard, Bertrand
core   +3 more sources