Výsledky vyhledávání - "Eveline Legendre"

Toric Sasaki–Einstein metrics with conical singularities

Autor: Martin de Borbon, Eveline Legendre

Publikováno v: Selecta Mathematica. 28

We show that any toric Kähler cone with smooth compact cross-section admits a family of Calabi–Yau cone metrics with conical singularities along its toric divisors. The family is parametrized by the Reeb cone and the angles are given explicitly in

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::3cd29fb6f149324fa9b59fe505bb0358
https://doi.org/10.1007/s00029-022-00778-y

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Some Open Problems in Sasaki Geometry

Autor: Hongnian Huang, Christina W. Tønnesen-Friedman, Eveline Legendre, Charles P. Boyer

This paper has been submitted to the Proceedings of the Australian-German Workshop on Differential Geometry in the Large held at the mathematical research institute MATRIX in Creswick, Victoria, Australia, Feb.2-Feb.14, 2019. We describe and discuss

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::59462860fabb4f3ef2fc6e0b367663b3
https://doi.org/10.1017/9781108884136.009

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Weighted K-stability of polarized varieties and extremality of Sasaki manifolds

Autor: Vestislav Apostolov, David M. J. Calderbank, Eveline Legendre

Publikováno v: Adv.Math.
Adv.Math., 2021, 391, pp.107969. ⟨10.1016/j.aim.2021.107969⟩

We use the correspondence between extremal Sasaki structures and weighted extremal Kahler metrics defined on a regular quotient of a Sasaki manifold, established by the first two authors, and Lahdili's theory of weighted K-stability in order to defin

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A Note on Extremal Toric Almost Kähler Metrics

Autor: Eveline Legendre

Publikováno v: Springer INdAM Series ISBN: 9783030131579

An almost Kahler structure is extremal if the Hermitian scalar curvature is a Killing potential (Lejmi, Int J Math 21(12):1639–1662, 2010). When the almost complex structure is integrable it coincides with extremal Kahler metric in the sense of Cal

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https://doi.org/10.1007/978-3-030-13158-6_4

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Localizing the Donaldson–Futaki invariant

Autor: Eveline Legendre

Publikováno v: International Journal of Mathematics
International Journal of Mathematics, 2021, ⟨10.1142/S0129167X21500555⟩

International audience; We use the equivariant localization formula to prove that the Donaldson-Futaki invariant of a compact smooth (Kähler) test configuration coincides with the Futaki invariant of the induced action on the central fiber when this

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https://doi.org/10.1142/s0129167x21500555

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Levi-Kahler reduction of CR structures, products of spheres, and toric geometry

Autor: Paul Gauduchon, Eveline Legendre, David M. J. Calderbank, Vestislav Apostolov

Publikováno v: Apostolov, V, Calderbank, D M J, Gauduchon, P & Legendre, E 2020, ' Levi-Kahler reduction of CR structures, products of spheres, and toric geometry ', Mathematical Research Letters, vol. 27, no. 6, pp. 1565-1629 . https://doi.org/10.4310/MRL.2020.V27.N6.A1

We study CR geometry in arbitrary codimension, and introduce a process, which we call the Levi-Kahler quotient, for constructing Kahler metrics from CR structures with a transverse torus action. Most of the paper is devoted to the study of Levi-Kahle

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1210aa67de58f4688e3dc32896fb1a85
https://hal.archives-ouvertes.fr/hal-01881051

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Toric aspects of the first eigenvalue

Autor: Eveline Legendre, Rosa Sena-Dias

Publikováno v: The Journal of Geometric Analysis
The Journal of Geometric Analysis, Springer, 2018, 28 (3), pp.2395-2421. ⟨10.1007/s12220-017-9908-y⟩
The Journal of Geometric Analysis, 2018, 28 (3), pp.2395-2421. ⟨10.1007/s12220-017-9908-y⟩

In this paper we study the smallest non-zero eigenvalue $\lambda_1$ of the Laplacian on toric K\"ahler manifolds. We find an explicit upper bound for $\lambda_1$ in terms of moment polytope data. We show that this bound can only be attained for $\mat

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6653da2410f45889c407b049cf85a9ca
https://hal.archives-ouvertes.fr/hal-01881061

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Reducibility in Sasakian Geometry

Autor: Charles P. Boyer, Christina W. Tønnesen-Friedman, Eveline Legendre, Hongnian Huang

Publikováno v: Trans.Am.Math.Soc.
Trans.Am.Math.Soc., 2018, 370 (10), pp.6825-6869. ⟨10.1090/tran/7526⟩

The purpose of this paper is to study reducibility properties in Sasakian geometry. First we give the Sasaki version of the de Rham Decomposition Theorem; however, we need a mild technical assumption on the Sasaki automorphism group which includes th

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7e7da0a60385080125dd987aacf4ee19
https://hal.science/hal-01856817

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An application of the Duistermaat–Heckman theorem and its extensions in Sasaki geometry

Autor: Hongnian Huang, Charles P. Boyer, Eveline Legendre

Publikováno v: Geom. Topol. 22, no. 7 (2018), 4205-4234
Geometry and Topology
Geometry and Topology, 2018, ⟨10.2140/gt.2018.22.4205⟩

Building on an idea laid out by Martelli--Sparks--Yau, we use the Duistermaat-Heckman localization formula and an extension of it to give rational and explicit expressions of the volume, the total transversal scalar curvature and the Einstein--Hilber

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https://projecteuclid.org/euclid.gt/1544756698

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Toric contact geometry in arbitrary codimension

Autor: Eveline Legendre, David M. J. Calderbank, Vestislav Apostolov, Paul Gauduchon

We define toric contact manifolds in arbitrary codimension and give a description of such manifolds in terms of a kind of labelled polytope embedded into a grassmannian, analogous to the Delzant polytope of a toric symplectic manifold.
22 pages

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c331d768687d1fe26a4c2fedf6a1bdd3
http://arxiv.org/abs/1708.04942

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