Results 1  10
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50
On Conformally Kähler, Einstein Manifolds
, 2007
"... We prove that any compact complex surface with c1> 0 admits an Einstein metric which is conformally related to a Kähler metric. The key new ingredient is the existence of such a metric on the blowup CP2#2CP2 of the complex projective plane at two distinct points. 1 ..."
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Cited by 51 (11 self)
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We prove that any compact complex surface with c1> 0 admits an Einstein metric which is conformally related to a Kähler metric. The key new ingredient is the existence of such a metric on the blowup CP2#2CP2 of the complex projective plane at two distinct points. 1
Blowup of generalized complex 4manifolds
, 806
"... We introduce blowup and blowdown operations for generalized complex 4manifolds. Combining these with a surgery analogous to the logarithmic transform, we then construct generalized complex structures on nCP 2 #mCP 2 for n odd, a family of 4manifolds which admit neither complex nor symplectic str ..."
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Cited by 10 (1 self)
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We introduce blowup and blowdown operations for generalized complex 4manifolds. Combining these with a surgery analogous to the logarithmic transform, we then construct generalized complex structures on nCP 2 #mCP 2 for n odd, a family of 4manifolds which admit neither complex nor symplectic
Circle and torus actions on equal symplectic blowups of CP2
"... Abstract. A manifold obtained by k simultaneous symplectic ..."
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Cited by 7 (3 self)
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Abstract. A manifold obtained by k simultaneous symplectic
RICCI CURVATURE ON THE BLOWUP OF CP 2 AT TWO POINTS
"... In this note, we compute the Tian’s αG(M)invariant on Our result is an improvement of Abdesselem’s CP2 #2CP2. result in Abdesselem (1997). As aconsequence, we obtain a good estimate of Ricci curvature on CP2 #2CP2 by studying certain complex MongeAmpère equation. 1. Introduction. It is wellknown ..."
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In this note, we compute the Tian’s αG(M)invariant on Our result is an improvement of Abdesselem’s CP2 #2CP2. result in Abdesselem (1997). As aconsequence, we obtain a good estimate of Ricci curvature on CP2 #2CP2 by studying certain complex MongeAmpère equation. 1. Introduction. It is well
Torus actions on small blow ups of CP2
, 2004
"... Abstract. A manifold obtained by k simultaneous symplectic blowups of CP2 of equal sizes ǫ (where the size of CP1 ⊂ CP2 is one) admits an effective two dimensional torus action if k ≤ 3. We show that it does not admit such an action if k ≥ 4 and ǫ ≤ 1 3k22k. For the proof, we correspond between the ..."
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Cited by 5 (4 self)
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Abstract. A manifold obtained by k simultaneous symplectic blowups of CP2 of equal sizes ǫ (where the size of CP1 ⊂ CP2 is one) admits an effective two dimensional torus action if k ≤ 3. We show that it does not admit such an action if k ≥ 4 and ǫ ≤ 1 3k22k. For the proof, we correspond between
A SYMPLECTIC CONSTRUCTION OF CALABI’S EXTREMAL KÄHLER METRICS ON THE BLOWUP OF CPn AT ONE POINT
, 2005
"... ABSTRACT. We apply a local differential geometric framework from Kähler toric geometry to (re)construct Calabi’s extremal Kähler metrics on CP n blownup at a point from data on the moment polytope. This note is an addendum to [Raz04a]. 1. RECOLLECTION OF RELEVANT RESULTS Using a construction from s ..."
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ABSTRACT. We apply a local differential geometric framework from Kähler toric geometry to (re)construct Calabi’s extremal Kähler metrics on CP n blownup at a point from data on the moment polytope. This note is an addendum to [Raz04a]. 1. RECOLLECTION OF RELEVANT RESULTS Using a construction from
Computing the density of Riccisolitons on CP 2 ♯2CP 2
, 2009
"... This is a short note explaining how one can compute the Gaussian density of the KählerRicci soliton and the conformally Kähler, Einstein metric on the two point blowup of the complex projective plane. 1 ..."
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Cited by 1 (0 self)
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This is a short note explaining how one can compute the Gaussian density of the KählerRicci soliton and the conformally Kähler, Einstein metric on the two point blowup of the complex projective plane. 1
Explicit selfdual metrics on CP2# • • • #CP2
 J. Differential Geom
, 1991
"... We display explicit halfconformallyflat metrics on the connected sum of any number of copies of the complex projective plane. These metrics are obtained from magnetic monopoles in hyperbolic 3space by an analogue of the GibbonsHawking ansatz, and are conformal compactifications of asymptotically ..."
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Cited by 16 (1 self)
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of asymptoticallyflat, scalarflat Kahler metrics on «fold blowups of C 2. The corresponding twistor spaces are also displayed explicitly, and are observed to be Moishezon manifolds — that is, they are bimeromorphic to projective varieties. 1.
Finite time blow up in KaniadakisQuarati model of BoseEinstein particles
, 2010
"... We study a FokkerPlanck equation with linear diffusion and superlinear drift introduced by Kaniadakis and Quarati [11, 12] to describe the evolution of a gas of BoseEinstein particles. For kinetic equation of this type it is wellknown that, in the physical space R 3, the structure of the equilib ..."
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in the latter we prove that the solution starts to blow up at some finite time tc, for which we give an upper bound in terms of the initial mass. The results are in favour of the validation of the model, which, in the supercritical regime, could produce in finite time a transition from a normal fluid to one
Slow blow up in the (2+1)dimensional S 2 sigma model
, 1999
"... We study singularity formation in spherically symmetric solitons of the charge one sector of the (2+1) dimensional S 2 sigma model, also known as CP 1 wave maps, in the adiabatic limit. These equations are nonintegrable, and so studies are performed numerically on radially symmetric solutions using ..."
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Cited by 1 (1 self)
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We study singularity formation in spherically symmetric solitons of the charge one sector of the (2+1) dimensional S 2 sigma model, also known as CP 1 wave maps, in the adiabatic limit. These equations are nonintegrable, and so studies are performed numerically on radially symmetric solutions
Results 1  10
of
50