Results 71 to 80 of about 95,172 (100)

On Hyperkähler manifolds of K3$^{[n]}$-type with large Picard number

open access: yes
Inspired by well-known examples of hyperkähler manifolds, we show that any hyperkähler manifold $X$ of K3$^{[n]}$-type with Picard number $ρ(X) \geq 4$ is always isomorphic to a moduli space of twisted stable sheaves on a K3 surface.
Prieto-Montañez, Yulieth
core  

A General Type of Almost Contact Manifolds [PDF]

open access: yes
Among almost contact manifolds Sasakian manifolds, Kenmotsu manifolds (called also “a certain class of almost contact manifolds”) and cosymplectic manifolds have been studied by many authors.
Catalin Angelo Ioan
core  

Hypermultiplets, hyperKähler cones and quaternion-Kähler geometry

open access: yes, 2001
We study hyperkähler cones and their corresponding quaternion-Kähler spaces. We present a classification of 4(n − 1)-dimensional quaternion- Kähler spaces with n abelian quaternionic isometries, based on dualizing superconformal tensor multiplets ...
Wit, Bernard de, Vandoren, S., Rocek, M.
core  

From Euclidean field theory to hyperkähler Floer theory via regularized polysymplectic geometry

open access: yes
Hamiltonian Floer theory plays an important role for finding periodic solutions of Hamilton’s equation, which can be seen as a generalization of Newton’s equation.
Fabert, Oliver, Brilleslijper, Ronen
core   +1 more source

Comparison theorems on H-type sub-Riemannian manifolds. [PDF]

open access: yesCalc Var Partial Differ Equ
Baudoin F   +3 more
europepmc   +1 more source

Unstable minimal spheres with degree-1 Gauss lift in hyperkähler 4-manifolds

open access: yes
We exhibit new minimal 2-spheres in hyperkähler 4-manifolds arising from the Gibbons--Hawking ansatz and in the K3 manifold endowed with a hyperkähler metric.
Trinca, Federico, Foscolo, Lorenzo
core  

A note on the transcendental basepoint-free conjecture for Calabi-Yau manifolds

open access: yes
In this note, we prove that the transcendental basepoint-free conjecture for Calabi-Yau manifolds holds if it holds for its hyperkähler factors in its Beauville-Bogomolov decomposition.
Philippe, Bastien
core  

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