Results 41 to 50 of about 1,107 (66)

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

Mathematische 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, Davide Dameno, Paolo Mastrolia   +2 more
wiley   +1 more source

G2 Hitchin functionals at one loop

, 2007
We consider the quantization of the effective target space description of topological M-theory in terms of the Hitchin functional whose critical points describe seven-manifolds with G2 structure.
A Sinkovics, Anguelova L, Anguelova L, Bao L, Bao L Cederwall M Nilsson B E W, Bonelli G, Bonelli G, Bonelli G, Dai X Wang X Wei G, de Boer J de Medeiros P El-Showk S Sinkovics A, de Boer J Naqvi A Shomer A, Dijkgraaf R, Graña M, Hitchin N, Hitchin N, Hitchin N J, Iqbal A Nekrasov N Okounkov A Vafa C, J de Boer, Jeschek C, Jeschek C Witt F, Joyce D, Leung N C, McLean R C, Okounkov A Reshetikhin N Vafa C, P de Medeiros, S El-Showk   +25 more
core   +4 more sources

Strong Kähler with torsion solvable lie algebras with codimension 2 nilradical

Mathematische Nachrichten, Volume 297, Issue 12, Page 4705-4729, December 2024.
Abstract In this paper, we study strong Kähler with torsion (SKT) and generalized Kähler structures on solvable Lie algebras with (not necessarily abelian) codimension 2 nilradical. We treat separately the case of J$J$‐invariant nilradical and non‐J$J$‐invariant nilradical. A classification of such SKT Lie algebras in dimension 6 is provided.
Beatrice Brienza, Anna Fino
wiley   +1 more source

Complete Calabi-Yau metrics from Kahler metrics in D=4

, 2010
In the present work the local form of certain Calabi-Yau metrics possessing a local Hamiltonian Killing vector is described in terms of a single non linear equation. The main assumptions are that the complex $(3,0)$-form is of the form $e^{ik}\widetilde{\
A. Besse, C. Boyer, J. Gauntlett, J. Gauntlett, K. P. Tod, K. P. Tod, M. Kontsevich, Mauricio Leston, Osvaldo P. Santillan, R. Gopakumar, S. Bando, S. Chiossi, T. M. Chiang   +12 more
core   +1 more source

Special geometry, black holes and Euclidean supersymmetry [PDF]

, 2007
We review recent developments in special geometry and explain its role in the theory of supersymmetric black holes. To make this article self-contained, a short introduction to black holes is given, with emphasis on the laws of black hole mechanics and ...
Mohaupt, T.
core   +1 more source

Towards mirror symmetry à la SYZ for generalized Calabi-Yau manifolds [PDF]

, 2007
Fibrations of flux backgrounds by supersymmetric cycles are investigated. For an internal six-manifold M with static SU(2) structure and mirror hat M, it is argued that the product M × hat M is doubly fibered by supersymmetric three-tori, with both sets ...
Grange, Pascal, Schäfer-Nameki, Sakura
core   +2 more sources

Hamiltonian Symmetries and Reduction in Generalized Geometry [PDF]

, 2009
Hu, Shengda
core   +1 more source

Revisiting Atiyah–Hitchin manifold in the generalized Legendre transform

Progress of Theoretical and Experimental Physics, 2023
Masato Arai
exaly  

The Hitchin–Kobayashi Correspondence for Quiver Bundles over Generalized Kähler Manifolds

Journal of Geometric Analysis, 2019
Pengfei Huang
exaly  

Dk Gravitational Instantons as Superpositions of Atiyah–Hitchin and Taub–NUT Geometries

Quarterly Journal of Mathematics, 2021
exaly