Results 31 to 40 of about 2,254 (90)

A Generalization of the Goldberg-Sachs Theorem and its Consequences

, 2013
The Goldberg-Sachs theorem is generalized for all four-dimensional manifolds endowed with torsion-free connection compatible with the metric, the treatment includes all signatures as well as complex manifolds.
A Newlander, C McIntosh, Carlos Batista, I Robinson, J Plebański, JF Plebański, L Mason, M Nakahara, M Przanowski, P Nurowski, PR Law, PR Law, RM Wald, RP Kerr, S Hacyan, W Kinnersley, W Kopczynski   +16 more
core   +1 more source

de Sitter Excited State in Heterotic E8×E8${\rm E}_8 \times {\rm E}_8$ Theory

Fortschritte der Physik, Volume 73, Issue 12, December 2025.
Abstract A novel duality sequence is devised to study late‐time cosmology in the heterotic E8×E8${\rm E}_8 \times {\rm E}_8$ setup of Horava and Witten with dynamical walls that are moving towards each other. Remarkably, the dimensionally reduced 4‐dimensional theory does not violate NEC and no bouncing or ekpyrotic phase is observed.
Suddhasattwa Brahma, Keshav Dasgupta, Bohdan Kulinich, Archana Maji, Pichai Ramadevi, Radu Tatar   +5 more
wiley   +1 more source

A characterization of finite vector bundles on Gauduchon astheno-Kahler manifolds

, 2018
A vector bundle E on a projective variety X is called finite if it satisfies a nontrivial polynomial equation with integral coefficients. A theorem of Nori implies that E is finite if and only if the pullback of E to some finite etale Galois covering of ...
Biswas, Indranil, Pingali, Vamsi Pritham
core   +1 more source

The three‐dimensional Seiberg–Witten equations for 3/2$3/2$‐spinors: A compactness theorem

Mathematische Nachrichten, Volume 298, Issue 10, Page 3331-3375, October 2025.
Abstract The Rarita‐Schwinger–Seiberg‐Witten (RS–SW) equations are defined similarly to the classical Seiberg–Witten equations, where a geometric non–Dirac‐type operator replaces the Dirac operator called the Rarita–Schwinger operator. In dimension 4, the RS–SW equation was first considered by the second author (Nguyen [J. Geom. Anal. 33(2023), no. 10,
Ahmad Reza Haj Saeedi Sadegh, Minh Lam Nguyen   +1 more
wiley   +1 more source

Topological and Geometric Obstructions on Einstein-Hilbert-Palatini Theories

, 2018
In this article we introduce $A$-valued Einstein-Hilbert-Palatini functional ($A$-EHP) over a n-manifold $M$, where $A$ is an arbitrary graded algebra, as a generalization of the functional arising in the study of the first order formulation of gravity ...
Biezuner, Rodney J., Martins, Yuri X.
core   +3 more sources

On uniqueness of solutions to complex Monge–Ampère mean field equations

Bulletin of the London Mathematical Society, Volume 57, Issue 10, Page 3163-3180, October 2025.
Abstract We establish the uniqueness of solutions to complex Monge–Ampère mean field equations when (minus) the temperature parameter is small. In the local setting of bounded hyperconvex domains, our result partially confirms a conjecture by Berman and Berndtsson. Our approach also extends to the global context of compact complex manifolds.
Chinh H. Lu, Trong‐Thuc Phung
wiley   +1 more source

Holomorphic field theories and higher algebra

Bulletin of the London Mathematical Society, Volume 57, Issue 10, Page 2903-2974, October 2025.
Abstract Aimed at complex geometers and representation theorists, this survey explores higher dimensional analogs of the rich interplay between Riemann surfaces, Virasoro and Kac‐Moody Lie algebras, and conformal blocks. We introduce a panoply of examples from physics — field theories that are holomorphic in nature, such as holomorphic Chern‐Simons ...
Owen Gwilliam, Brian R. Williams
wiley   +1 more source

Some remarks on cosymplectic 3-structures

, 2012
In this note we briefly review some recent results of the authors on the topological and geometrical properties of 3-cosymplectic manifolds.Comment: 6 ...
De Nicola, Antonio, Montano, Beniamino Cappelletti, Yudin, Ivan   +2 more
core   +1 more source

Continuity of HYM connections with respect to metric variations

Journal of the London Mathematical Society, Volume 112, Issue 1, July 2025.
Abstract We investigate the set of (real Dolbeault classes of) balanced metrics Θ$\Theta$ on a balanced manifold X$X$ with respect to which a torsion‐free coherent sheaf E$\mathcal {E}$ on X$X$ is slope stable. We prove that the set of all such [Θ]∈Hn−1,n−1(X,R)$[\Theta] \in H^{n - 1,n - 1}(X,\mathbb {R})$ is an open convex cone locally defined by a ...
Rémi Delloque
wiley   +1 more source

η-Ricci Solitons on Weak β-Kenmotsu f-Manifolds

Mathematics
Recent interest among geometers in f-structures of K. Yano is due to the study of topology and dynamics of contact foliations, which generalize the flow of the Reeb vector field on contact manifolds to higher dimensions. Weak metric structures introduced
Vladimir Rovenski
doaj   +1 more source