Heterotic Hyper-Kähler flux backgrounds
Sign Up to like & getrecommendations! Published in 2017 at "Journal of High Energy Physics"
DOI: 10.1007/jhep08(2017)138
Abstract: A bstractWe study Heterotic supergravity on Hyper-Kähler manifolds in the presence of non-trivial warping and three form flux with Abelian bundles in the large charge limit. We find exact, regular solutions for multi-centered Gibbons-Hawking spaces… read more here.
Keywords: hler; flux backgrounds; heterotic hyper; hyper hler ... See more keywords
Fock Representations and Deformation Quantization of Kähler Manifolds
Sign Up to like & getrecommendations! Published in 2017 at "Advances in Applied Clifford Algebras"
DOI: 10.1007/s00006-016-0753-z
Abstract: The goal of this paper is to construct the Fock representation of noncommutative Kähler manifolds. Noncommutative Kähler manifolds studied here are constructed by deformation quantization with separation of variables, which was given by Karabegov. The… read more here.
Keywords: hler; noncommutative hler; fock representations; hler manifolds ... See more keywords
Existence of twisted constant scalar curvature Kähler metrics with a large twist
Sign Up to like & getrecommendations! Published in 2018 at "Mathematische Zeitschrift"
DOI: 10.1007/s00209-018-2133-y
Abstract: Suppose that there exist two Kähler metrics $$\omega $$ω and $$\alpha $$α such that the metric contraction of $$\alpha $$α with respect to $$\omega $$ω is constant, i.e. $$\varLambda _{\omega } \alpha = \text {const}$$Λωα=const. We… read more here.
Keywords: hler; constant scalar; hler metrics; twisted constant ... See more keywords
A Note on the uncoupled Dirac-harmonic maps from Kähler spin manifolds to Kähler manifolds
Sign Up to like & getrecommendations! Published in 2018 at "manuscripta mathematica"
DOI: 10.1007/s00229-017-0941-8
Abstract: In this manuscript, we consider uncoupled Dirac-harmonic maps from Kähler spin manifolds to Kähler manifolds and prove an existence theorem. Moreover, we construct some new uncoupled Dirac-harmonic maps from Riemann surfaces to Kähler manifolds. read more here.
Keywords: hler; dirac harmonic; harmonic maps; hler manifolds ... See more keywords
Arc of Bühler: the surgical significance of a rare anatomical variation
Sign Up to like & getrecommendations! Published in 2018 at "Surgical and Radiologic Anatomy"
DOI: 10.1007/s00276-018-2168-0
Abstract: PurposeThe arc of Bühler, an anastomotic vessel between celiac artery and superior mesenteric artery, is a rare anatomic variation. Various radiologic and surgical procedures can be affected by its existence. We aim to review all… read more here.
Keywords: hler; artery; variation; arc hler ... See more keywords
Balanced metrics for Kähler-Ricci solitons and quantized Futaki invariants
Sign Up to like & getrecommendations! Published in 2022 at "Journal of Functional Analysis"
DOI: 10.1016/j.jfa.2022.109400
Abstract: We show that a Kähler-Ricci soliton on a Fano manifold can always be smoothly approximated by a sequence of relative anticanonically balanced metrics, also called quantized Kähler-Ricci solitons. The proof uses an equivariant version of… read more here.
Keywords: ricci solitons; quantized futaki; balanced metrics; hler ... See more keywords
A note on conical Kähler-Ricci flow on minimal elliptic Kähler surfaces
Sign Up to like & getrecommendations! Published in 2018 at "Acta Mathematica Scientia"
DOI: 10.1016/s0252-9602(17)30124-8
Abstract: Abstract We prove that, under a semi-ampleness type assumption on the twisted canonical line bundle, the conical Kahler-Ricci flow on a minimal elliptic Kahler surface converges in the sense of currents to a generalized conical… read more here.
Keywords: hler; minimal elliptic; flow minimal; ricci flow ... See more keywords
The Kodaira Problem for Kähler Spaces with Vanishing First Chern Class
Sign Up to like & getrecommendations! Published in 2021 at "Forum of Mathematics, Sigma"
DOI: 10.1017/fms.2021.18
Abstract: Abstract Let X be a normal compact Kähler space with klt singularities and torsion canonical bundle. We show that X admits arbitrarily small deformations that are projective varieties if its locally trivial deformation space is… read more here.
Keywords: hler; vanishing first; spaces vanishing; problem hler ... See more keywords
Numerical Approximations to Extremal Toric Kähler Metrics with Arbitrary Kähler Class
Sign Up to like & getrecommendations! Published in 2017 at "Proceedings of the Edinburgh Mathematical Society"
DOI: 10.1017/s0013091516000444
Abstract: Abstract We develop new algorithms for approximating extremal toric Kähler metrics. We focus on an extremal metric on , which is conformal to an Einstein metric (the Chen–LeBrun–Weber metric). We compare our approximation to one… read more here.
Keywords: hler; hler metrics; einstein metric; toric hler ... See more keywords
On the Classification of ALE Kähler Manifolds
Sign Up to like & getrecommendations! Published in 2020 at "International Mathematics Research Notices"
DOI: 10.1093/imrn/rnz376
Abstract: The underlying complex structure of ALE Kähler manifolds is exhibited as a resolution of a deformation of an isolated quotient singularity. As a consequence, there exist only finitely many diffeomorphism types of minimal ALE Kähler… read more here.
Keywords: hler; ale hler; hler manifolds; classification ale ... See more keywords
From ALE to ALF gravitational instantons
Sign Up to like & getrecommendations! Published in 2018 at "Compositio Mathematica"
DOI: 10.1112/s0010437x18007030
Abstract: In this article, we give an analytic construction of ALF hyperkähler metrics on smooth deformations of the Kleinian singularity $\mathbb{C}^{2}/{\mathcal{D}}_{k}$ , with ${\mathcal{D}}_{k}$ the binary dihedral group of order $4k$ , $k\geqslant 2$ . More… read more here.
Keywords: hler; hler metrics; hyperk hler; gravitational instantons ... See more keywords