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On homotopy Poisson actions and reduction of symplectic Q-manifolds
homotopy Poisson actions reduction of symplectic Q-manifolds
2010/12/1
We present a general framework for reduction of symplectic Qmanifolds via graded group actions. In this framework, the homological structure on the acting group is a multiplicative multivector field.
In joint work with Chen and Weber [7] , the author has elsewhere shown that CP2#2CP2 admits an Einstein metric. The present paper gives a new and rather different proof of this fact. Our results inclu...
Rationally cubic connected manifolds II
Rationally connected manifolds rational curves Fano manifolds
2010/12/9
We study smooth complex projective polarized varieties (X;H)of dimension n 2 which admit a dominating family V of rational curves of H-degree 3, such that two general points of X may be joined by a ...
Pinching on open manifolds
Pinching open manifolds
2010/12/7
We show that the 2-jet bundle of local Riemannian metrics on an arbitrary differentiable manifold admits a section which pointwise fulfills the curvature relation sec(g) = a for any a 2 R. It follows ...
Extrinsic geometric flows on foliated manifolds, II
geometric flow soliton principal curvature totally umbilical extrinsic Ricci curvature
2010/12/15
Extrinsic Geometric Flows (EGF) for a codimension-one foliation have been recently introduced by authors as deformations of Riemannian metrics subject to quantities expressed in terms of its second fu...
$\TT^2$-cobordism of Quasitoric 4-Manifolds
torus action quasitoric manifold cobordism group
2010/11/29
We show the T2-cobordism group of the category of 4-dimensional quasitoric manifolds is generated by the T2-cobordism class of CP2. The main tool is the theory of quasitoric manifolds.
This paper contains several results concerning circle action on almost-complexand smooth manifolds. More precisely, we show that, for an almost-complex manifoldM2mn(resp. a smooth manifold N4mn), if t...