Results 61 to 70 of about 21,501 (172)

Notes on Characterizations of 2d Rational SCFTs: Algebraicity, Mirror Symmetry, and Complex Multiplication

open access: yesFortschritte der Physik, Volume 73, Issue 1-2, February 2025.
Abstract S. Gukov and C. Vafa proposed a characterization of rational N=(1,1)$N=(1,1)$ superconformal field theories (SCFTs) in 1+1$1+1$ dimensions with Ricci‐flat Kähler target spaces in terms of the Hodge structure of the target space, extending an earlier observation by G. Moore.
Abhiram Kidambi   +2 more
wiley   +1 more source

Curvature of quaternionic skew‐Hermitian manifolds and bundle constructions

open access: yesMathematische Nachrichten, Volume 298, Issue 1, Page 87-112, January 2025.
Abstract This paper is devoted to a description of the second‐order differential geometry of torsion‐free almost quaternionic skew‐Hermitian manifolds, that is, of quaternionic skew‐Hermitian manifolds (M,Q,ω)$(M, Q, \omega)$. We provide a curvature characterization of such integrable geometric structures, based on the holonomy theory of symplectic ...
Ioannis Chrysikos   +2 more
wiley   +1 more source

Deformation theory of nearly Kähler manifolds [PDF]

open access: yes, 2017
Nearly Kähler manifolds are the Riemannian 6-manifolds admitting real Killing spinors. Equivalently, the Riemannian cone over a nearly Kähler manifold has holonomy contained in G2. In this paper we study the deformation theory of nearly Kähler manifolds,
Lorenzo Foscolo   +3 more
core   +1 more source

Real hypersurfaces in Kähler manifolds

open access: yes, 2018
We consider real hypersurfaces of compact Kähler manifolds and show that real hypersurfaces of Kähler manifolds induced by Morse functions have contact structures.
조용승
core   +1 more source

Quasi-potentials and Kähler–Einstein metrics on flag manifolds, II

open access: yes, 2003
For a homogeneous space G/P, where P is a parabolic subgroup of a complex semisimple group G, an explicit Kähler–Einstein metric on it is constructed. The Einstein constant for the metric is 1.
Azad, Hassan, Biswas, Indranil
core   +1 more source

Einstein–Kähler metrics on certain complex bundles

open access: yes, 2000
We study a class of compact complex manifolds, with positive first Chern class, fibered over products of projective spaces. We prove that these bundles carry Einstein–Kähler metrics when the projective spaces of the basis have the same dimension.
Ben Abdesselem, Adnène   +3 more
core   +1 more source

Lagrangian Fibrations. [PDF]

open access: yesMilan J Math, 2022
Huybrechts D, Mauri M.
europepmc   +1 more source

Introduction to Kähler Manifolds

open access: yes, 2017
This chapter provides an introduction to the basic results on the topology of compact Kähler manifolds that underlie and motivate Hodge theory. This chapter consists of five sections which correspond, roughly, to the five lectures in the course given ...
Eduardo Cattani, Phillip Griffiths
core   +1 more source

Emergent Sasaki-Einstein geometry and AdS/CFT. [PDF]

open access: yesNat Commun, 2022
Berman RJ, Collins TC, Persson D.
europepmc   +1 more source

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