Results 41 to 50 of about 95,172 (100)
Gravitational instantons with quadratic volume growth
Journal of the London Mathematical Society, Volume 109, Issue 4, April 2024.Abstract There are two known classes of gravitational instantons with quadratic volume growth at infinity, known as type ALG$\operatorname{ALG}$ and ALG∗$\operatorname{ALG}^*$. Gravitational instantons of type ALG$\operatorname{ALG}$ were previously classified by Chen–Chen.
Gao Chen, Jeff Viaclovsky
wiley +1 more source
Closed 3‐forms in five dimensions and embedding problems
Journal of the London Mathematical Society, Volume 109, Issue 4, April 2024.Abstract We consider the question if a five‐dimensional manifold can be embedded into a Calabi–Yau manifold of complex dimension 3 such that the real part of the holomorphic volume form induces a given closed 3‐form on the 5‐manifold. We define an open set of 3‐forms in dimension five which we call strongly pseudoconvex, and show that for closed ...
Simon Donaldson, Fabian Lehmann
wiley +1 more source
On Classifying HyperKähler Kummer 8-Orbifolds [PDF]
HyperKähler spaces, including manifolds, orbifolds and conical singularities play an important role in superstring/$M$-theory and gauge theories as well as in differential and algebraic geometry.
Acharya, Bobby Samir +1 more
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Integrability of Einstein deformations and desingularizations
Communications on Pure and Applied Mathematics, Volume 77, Issue 1, Page 177-220, January 2024.Abstract We study the question of the integrability of Einstein deformations and relate it to the question of the desingularization of Einstein metrics. Our main application is a negative answer to the long‐standing question of whether or not every Einstein 4‐orbifold (which is an Einstein metric space in a synthetic sense) is limit of smooth Einstein ...
Tristan Ozuch
wiley +1 more source
One‐dimensional local families of complex K3 surfaces
Bulletin of the London Mathematical Society, Volume 56, Issue 1, Page 296-305, January 2024.Abstract For any complex K3 surface X$X$, we construct a one‐dimensional deformation in which all integers ρ$\rho$ with 0⩽ρ⩽20$0 \leqslant \rho \leqslant 20$ occur as Picard numbers of some fibres. In contrast, we prove that the generic one‐dimensional local family of K3 surfaces admits only 0 and 1 as Picard numbers of the fibres.
Riccardo Carini, Francesco Viganò
wiley +1 more source
Fully non-linear elliptic equations on compact hyperkähler manifolds [PDF]
We consider a general class of elliptic equations on hypercomplex manifolds which includes the quaternionic Monge-Ampère equation, the quaternionic Hessian equation and the Monge-Ampère equation for quaternionic $(n-1)$-plurisubharmonic functions.
Vezzoni, Luigi, Gentili, Giovanni
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Kobayashi pseudometric on hyperkahler manifolds [PDF]
, 2014 The Kobayashi pseudometric on a complex manifold M is the maximal pseudometric such that any holomorphic map from the Poincaré disk to M is distance-decreasing. Kobayashi has conjectured that this pseudometric vanishes on Calabi-Yau manifolds.
Verbitsky, Misha +2 more
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Any Component Of Moduli Of Polarized Hyperkähler Manifolds Is Dense In Its Deformation Space
, 2015 Let M be a compact hyperkähler manifold, and W the coarse moduli of complex deformations of M. Every positive integer class v in H2(M) defines a divisor Dv in W consisting of all algebraic manifolds polarized by v. We prove that every connected component
Verbitsky, M +3 more
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HyperKähler and quaternionic Kähler manifolds with S-1-symmetries
, 2008 Haydys A. HyperKähler and quaternionic Kähler manifolds with S-1-symmetries. Journal of Geometry and Physics. 2008;58(3):293-306.We study relations between quaternionic Riemannian manifolds admitting different types of symmetries.
Haydys, Andriy
core +1 more source
Evanescent ergosurfaces and ambipolar hyperkähler metrics [PDF]
, 2016 A supersymmetric solution of 5d supergravity may admit an ‘evanescent ergosurface’: a timelike hypersurface such that the canonical Killing vector field is timelike everywhere except on this hypersurface.
Benjamin E. Niehoff, Harvey S. Reall
core +3 more sources