Results 31 to 40 of about 2,340 (109)

Novel Theorems on Spacetime Admitting Pseudo‐W2 Curvature Tensor

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This paper investigates spacetime manifolds admitting a pseudo‐W2 curvature tensor. We show that a pseudo‐W2 flat spacetime is an Einstein manifold and therefore has constant curvature. Moreover, when the manifold satisfies the Einstein field equations (EFE), with a cosmological constant, the associated energy–momentum tensor is covariantly constant ...
B. B. Chaturvedi, Prabhawati Bhagat, Mohammad Nazrul Islam Khan, Ljubisa Kocinac   +3 more
wiley   +1 more source

AdS4 black holes from M-theory

, 2015
We consider the BPS conditions of eleven dimensional supergravity, restricted to an appropriate ansatz for black holes in four non-compact directions.
Katmadas, Stefanos, Tomasiello, Alessandro   +1 more
core   +1 more source

Rigidity of Minimal Legendrian Submanifolds in Sasakian Space Forms

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This paper is concerned with the study on rigidity of minimal Legendrian submanifolds in Sasakian space forms under some certain geometric conditions, motivated by the classification of minimal Legendrian submanifolds with constant sectional curvature.
Dehe Li, Sicheng Li, Antonio Masiello
wiley   +1 more source

Systems of symplectic forms on four-manifolds [PDF]

, 2012
We study almost Hermitian 4-manifolds with holonomy algebra, for the canonical Hermitian connection, of dimension at most one. We show how Riemannian 4-manifolds admitting five orthonormal symplectic forms fit therein and classify them. In this set-up we
Chiossi, SImon G., Nagy, Paul-Andi
core   +1 more source

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

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

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

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

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