Results 51 to 60 of about 2,174 (122)

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

Almost Pure Metric Plastic Structures and Ricci Solitons on Four‐Dimensional Pseudo‐Riemannian Manifolds

open access: yesJournal of Function Spaces, Volume 2025, Issue 1, 2025.
This paper investigates four‐dimensional almost pure metric plastic manifolds equipped with a specific class of tensor fields known as almost plastic structures. We begin by defining these structures through characteristic algebraic identities and present explicit matrix realizations that capture their essential geometric features.
Aydin Gezer   +3 more
wiley   +1 more source

2‐Conformal Vector Fields on the Model Sol Space and Hyperbolic Ricci Solitons

open access: yesJournal of Mathematics, Volume 2025, Issue 1, 2025.
In this study, we present the notion of 2‐conformal vector fields on Riemannian and semi‐Riemannian manifolds, which are an extension of Killing and conformal vector fields. Next, we provide suitable vector fields in Sol space that are 2‐conformal. A few implications of 2‐conformal vector fields in hyperbolic Ricci solitons are investigated.
Rawan Bossly   +3 more
wiley   +1 more source

On Riemannian 4‐manifolds and their twistor spaces: A moving frame approach

open access: yesMathematische Nachrichten, Volume 297, Issue 12, Page 4651-4670, December 2024.
Abstract In this paper, we study the twistor space Z$Z$ of an oriented Riemannian 4‐manifold M$M$ using the moving frame approach, focusing, in particular, on the Einstein, non‐self‐dual setting. We prove that any general first‐order linear condition on the almost complex structures of Z$Z$ forces the underlying manifold M$M$ to be self‐dual, also ...
Giovanni Catino   +2 more
wiley   +1 more source

Future Directions of Research in Geometry: A Summary of the Panel Discussion at the 2007 Midwest Geometry Conference

open access: yesSymmetry, Integrability and Geometry: Methods and Applications, 2007
The 2007 Midwest Geometry Conference included a panel discussion devoted to open problems and the general direction of future research in fields related to the main themes of the conference.
Lawrence J. Peterson
doaj  

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

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

Complex hyperbolic volume and intersection of boundary divisors in moduli spaces of genus zero curves

open access: yes, 2016
We show that the complex hyperbolic metrics defined by Deligne-Mostow and Thurston on ${\mathcal{M}}_{0,n}$ are singular K\"ahler-Einstein metrics when ${\mathcal{M}}_{0,n}$ is embedded in the Deligne-Mumford-Knudsen compactification $\overline{\mathcal ...
Koziarz, Vincent, Nguyen, Duc-Manh
core  

Home - About - Disclaimer - Privacy