Results 51 to 60 of about 2,953 (146)
Some applications of canonical metrics to Landau–Ginzburg models
Journal of the London Mathematical Society, Volume 111, Issue 4, April 2025.Abstract It is known that a given smooth del Pezzo surface or Fano threefold X$X$ admits a choice of log Calabi–Yau compactified mirror toric Landau–Ginzburg model (with respect to certain fixed Kähler classes and Gorenstein toric degenerations).
Jacopo Stoppa
wiley +1 more source
Mabuchi Kähler solitons versus extremal Kähler metrics and beyond
Bulletin of the London Mathematical Society, Volume 57, Issue 3, Page 692-710, March 2025.Abstract Using the Yau–Tian–Donaldson type correspondence for v$v$‐solitons established by Han–Li, we show that a smooth complex n$n$‐dimensional Fano variety admits a Mabuchi soliton provided it admits an extremal Kähler metric whose scalar curvature is strictly less than 2(n+1)$2(n+1)$.
Vestislav Apostolov +2 more
wiley +1 more source
Quasi-Einstein metrics on hypersurface families
, 2013 We construct quasi-Einstein metrics on some hypersurface families. The hypersurfaces are circle bundles over the product of Fano, Kähler-Einstein manifolds.
Hall, Stuart J.
core +1 more source
Fortschritte der Physik, Volume 73, Issue 1-2, February 2025.Abstract S. Gukov and C. Vafa proposed a characterization of rational N=(1,1)$N=(1,1)$ superconformal field theories (SCFTs) in 1+1$1+1$ dimensions with Ricci‐flat Kähler target spaces in terms of the Hodge structure of the target space, extending an earlier observation by G. Moore.
Abhiram Kidambi +2 more
wiley +1 more source
New inhomogeneous Einstein metrics on sphere bundles over Einstein–Kähler manifolds
, 2004 We construct new complete, compact, inhomogeneous Einstein metrics on Sm+2 sphere bundles over 2n-dimensional Einstein–Kähler spaces K2n, for all n⩾1 and all m⩾1.
Don N. Page +5 more
core +1 more source
Local models for conical Kähler-Einstein metrics
, 2019 In this note we construct, in the context of metrics with conical singularities along a divisor, regular Calabi-Yau cones and Kähler-Einstein metrics of negative Ricci with a cuspidal point.
Martin de Borbon (16976562) +1 more
core +1 more source
Symmetry, Integrability and Geometry: Methods and Applications, 2007 The 2007 Midwest Geometry Conference included a panel discussion devoted to open problems and the general direction of future research in fields related to the main themes of the conference.
Lawrence J. Peterson
doaj
Kähler-Einstein metrics, Bergman metrics, and higher alpha-invariants
, 2015 The question of the existence of Kähler-Einstein metrics on a Kähler manifold M has been a subject of study for decades. The Kähler manifolds on which this question may be studied divide naturally into three types. For two of these types the question was
Macbeth, Heather
core
Canonical Kähler metrics on classes of Lorentzian 4-manifolds
, 2020 Conditions for the existence of Kähler–Einstein metrics and central Kähler metrics (Maschler in Trans Am Math Soc 355:2161–2182, 2003) along with examples, both old and new, are given on classes of Lorentzian 4-manifolds with two distinguished vector ...
Aazami, Amir Babak, Maschler, Gideon
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Rigidity of quasi-Einstein metrics
, 2011 We call a metric quasi-Einstein if the m-Bakry–Emery Ricci tensor is a constant multiple of the metric tensor. This is a generalization of Einstein metrics, it contains gradient Ricci solitons and is also closely related to the construction of the warped
Jeffrey Case +5 more
core +1 more source