Results 11 to 20 of about 201 (51)
The Ricci iteration and its applications [PDF]
, 2007 In this Note we introduce and study dynamical systems related to the Ricci operator on the space of Kahler metrics as discretizations of certain geometric flows.
Rubinstein, Yanir A.
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On the lower bound of the K energy and F functional [PDF]
, 2008 Using Perelman's results on Kahler Ricci flow, we prove that the K energy is bounded from below if and only if the F functional is bounded from below in the canonical Kahler class.Comment: Final version, to appear in Osaka Journal of ...
Li, Haozhao
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Balanced metrics and noncommutative Kaehler geometry [PDF]
, 2010 In this paper we show how Einstein metrics are naturally described using the quantization of the algebra of functions on a Kahler manifold M. In this setup one interprets M as the phase space itself, equipped with the Poisson brackets inherited from the ...
Lukic, Sergio
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Stability of Sasaki-extremal metrics under complex deformations [PDF]
, 2012 We consider the stability of Sasaki-extremal metrics under deformations of the complex structure on the Reeb foliation. Given such a deformation preserving the action of a compact subgroup of the automorphism group of a Sasaki-extremal structure, a ...
Besse +31 more
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On the Critical Points of the E_k Functionals in Kahler Geometry
, 2006 We prove that a Kahler metric in the anticanonical class which is a critical point of the functional E_k and has nonnegative Ricci curvature, is necessarily Kahler-Einstein.
Tosatti, Valentino
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Kahler-Einstein metrics on symmetric Fano T-varieties [PDF]
, 2013 We relate the global log canonical threshold of a variety with torus action to the global log canonical threshold of its quotient. We apply this to certain Fano varieties and use Tian's criterion to prove the existence of Kahler-Einstein metrics on them.
Suess, Hendrik, Süß, Hendrik
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Adler-Bell-Jackiw anomaly in Weyl semi-metals: Application to Pyrochlore Iridates
, 2012 Weyl semimetals are three dimensional analogs of graphene where the energy of the excitations are a linear function of their momentum. Pyrochlore Iridates $(A_{2}Ir_{2}O_{7})$ with A =yttrium or lanthanide element) are conjectured to be examples of such ...
G. Volovik, Vivek Aji
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On the construction of Nadel multiplier ideal sheaves and the limiting behavior of the Ricci flow
, 2007 In this note we construct Nadel multiplier ideal sheaves using the Ricci flow on Fano manifolds. This extends a result of Phong, Sesum and Sturm. These sheaves, like their counterparts constructed by Nadel for the continuity method, can be used to obtain
Rubinstein, Yanir A.
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Strict positivity of Kähler–Einstein currents
Forum of Mathematics, SigmaKähler–Einstein currents, also known as singular Kähler–Einstein metrics, have been introduced and constructed a little over a decade ago. These currents live on mildly singular compact Kähler spaces X and their two defining properties are the following:
Vincent Guedj +2 more
doaj +1 more source
Colored HOMFLY-PT polynomials that distinguish mutant knots
, 2017 We illustrate from the viewpoint of braiding operations on WZNW conformal blocks how colored HOMFLY-PT polynomials with multiplicity structure can detect mutations.
Nawata, S., Ramadevi, P., Singh, V.
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