Results 41 to 50 of about 21,501 (172)

Canonical Kähler metrics on classes of Lorentzian 4-manifolds

, 2020
Conditions for the existence of Kähler–Einstein metrics and central Kähler metrics (Maschler in Trans Am Math Soc 355:2161–2182, 2003) along with examples, both old and new, are given on classes of Lorentzian 4-manifolds with two distinguished vector ...
Aazami, Amir Babak, Maschler, Gideon
core   +1 more source

Gromov–Hausdorff limits of Kähler manifolds and algebraic geometry, II [PDF]

, 2016
We study Gromov–Hausdorff limits of Kähler–Einstein manifolds, in particular, their singularities, and connections with algebraic geometry.
Donaldson, Simon, Simon Donaldson, Sun, Song, Song Sun   +3 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

Study of η‐Ricci–Yamabe Solitons and Ricci–Yamabe Solitonss in a Lorentzian Nearly Kähler Space‐Time Manifold

Journal of Mathematics, Volume 2026, Issue 1, 2026.
An η‐Ricci–Yamabe solitonss is a notion of both Ricci and Yamabe solitons, defined by a geometric equation involving a tensor field, which has applications in general relativity and cosmology. The objective of the present research is to examine η‐Ricci–Yamabe solitonss and Ricci–Yamabe solitonss on covariant projectively flat and concircularly flat ...
B. B. Chaturvedi, Neha Chauhan, Mohammad Nazrul Islam Khan, Smritijit Sen   +3 more
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

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

Bundle Construction of Einstein Manifolds [PDF]

, 2010
The aim of this thesis is to construct some smooth Einstein manifolds with nonzero Einstein constant, and then to investigate their topological and geometric properties.
Chen, Dezhong
core  

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

The Einstein condition on nearly K\"ahler six-manifolds [PDF]

, 2021
We review basic facts on the structure of nearly Kähler manifolds,focussing in particular on the six-dimensional case. A self-contained proofthat nearly K\"ahler six-manifolds are Einstein is given by combining differentknown results. We finally rephrase
Russo, G.
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