Results 21 to 30 of about 1,268 (101)
Holomorphic Cartan geometries and rational curves [PDF]
, 2016 We prove that any compact K\"ahler manifold bearing a holomorphic Cartan geometry contains a rational curve just when the Cartan geometry is inherited from a holomorphic Cartan geometry on a lower dimensional compact K\"ahler manifold.Comment: 29 pages ...
Biswas, Indranil, McKay, Benjamin
core +1 more source
On Warped Product Pointwise Pseudo-Slant Submanifolds of LCK-Manifolds and Their Applications
AxiomsThe concept of pointwise slant submanifolds of a Kähler manifold was presented by Chen and Garay. This research extends this notion to a more general setting, specifically in a locally conformal Kähler manifold. We study the pointwise pseudo-slant warped
Fatimah Alghamdi
doaj +1 more source
The Weil-Petersson current for moduli of vector bundles and applications to orbifolds [PDF]
, 2016 We investigate stable holomorphic vector bundles on a compact complex K\"ahler manifold and more generally on an orbifold that is equipped with a K\"ahler structure.
Biswas, Indranil, Schumacher, Georg
core +3 more sources
Isometric immersions of locally conformally Kaehler manifolds
, 2018 We investigate isometric immersions of locally conformally Kaehler metrics into Hopf manifolds. In particular, we study Hopf-induced metrics on compact complex surfaces.Comment: 20 pages. Revised version with main corrections to Prop. 3.4, Prop.
Angella, Daniele, Zedda, Michela
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Formal Connections for families of Star Products [PDF]
, 2016 We define the notion of a formal connection for a smooth family of star products with fixed underlying symplectic structure. Such a formal connection allows one to relate star products at different points in the family.
Andersen, Jørgen Ellegaard +2 more
core +3 more sources
Journal of the London Mathematical Society, Volume 113, Issue 2, February 2026.Abstract Twistor spaces are certain compact complex three‐folds with an additional real fibre bundle structure. We focus here on twistor spaces over P2#P2#P2${\mathbb {P}}^2\#{\mathbb {P}}^2\#{\mathbb {P}}^2$. Such spaces are either small resolutions of double solids or they can be described as modifications of conic bundles.
Bernd Kreußler, Jan Stevens
wiley +1 more source
The cosymplectic Chern–Hamilton conjecture
Journal of the London Mathematical Society, Volume 113, Issue 2, February 2026.Abstract In this paper, we study the Chern–Hamilton energy functional on compact cosymplectic manifolds, fully classifying in dimension 3 those manifolds admitting a critical compatible metric for this functional. This is the case if and only if either the manifold is co‐Kähler or if it is a mapping torus of the 2‐torus by a hyperbolic toral ...
Søren Dyhr +3 more
wiley +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
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 +5 more
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
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