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Hormander-Mihklin type multiplier theorem on compacts manifolds withour boundary has been obtained by using the wave kernels. We consider maximal multiplies on this setting. To obtain the result, we c...
In this paper we prove two main results about the global properties of the period mapsfrom the Teichm¨uller space of polarized and marked Calabi-Yau type manifolds to theperiod domain of polarized Hod...
We investigate the convergence of the mean curvature flow of arbitrary codimension in Riemannian manifolds with bounded geometry. We prove that if the initial submanifold satisfies a pinching conditio...
A GLOBAL TORELLI THEOREM FOR CALABI-YAU MANIFOLDS     A GLOBAL TORELLI THEOREM  CALABI-YAU MANIFOLDS       font style='font-size:12px;'> 2018/4/19
We prove that the period map from the Teichm¨uller space of polarized and marked Calabi-Yau manifolds to the classifying space of polarized Hodge structures is an embedding. The proof is based on the ...
In this paper we introduce a global geometric invariant (M) related to injectivityradius to complete non-compact Riemannian manifolds and prove: If (Mn) > 1,then Mn is isometric to Rn when Ricci curva...
Some invariant tensors in two Naveira classes of Riemannian product manifolds are considered. These tensors are related with natural connections, i.e. linear connections preserving the Riemannian metr...
We prove that the automorphism group of an odd dimensional Calabi-Yau manifold of Picard number two is always a finite group. This makes a sharp contrast to the automorphism groups of K3 surfaces and ...
The main interest of the present paper is to prove the dual results for semi-Riemannian submersions, i.e., a semi-Riemannian submersion from a 3-dimensional space form into a surface is biharmonic if ...
We consider hyperbolic 3-manifolds with either non-empty compact geodesic boundary, or some toric cusps, or both. For any such M we analyze what portion of the volume of M can be recovered by insertin...
This paper is concerned with a Yamabe-type flow for compact Riemannian manifolds with boundary. The convergence of this flow is established if the manifold with boundary satisfies either a generic con...
We study homogeneous Einstein metrics for a class of compact homogeneous spaces, namely generalized flag manifolds $G/H$ with second Betti number $b_{2}(G/H)=1$. There are 33 such manifolds which have...
In this paper we classify n-dimensional Fano manifolds with index >=n-2 and positive second Chern character.
The Yamabe constant on noncompact manifolds     The Yamabe constant  noncompact manifolds  Differential Geometry       font style='font-size:12px;'> 2012/6/19
We prove several facts about the Yamabe constant of Riemannian metrics on general noncompact manifolds and about S. Kim's closely related "Yamabe constant at infinity". In particular we show that the ...
Thomas Bayes' walk on manifolds     Bayesian nonparametrics  Gaussian process priors  Heat kernel       font style='font-size:12px;'> 2012/6/19
Convergence of the Bayes posterior measure is considered in canonical statistical settings where observations sit on a geometrical object such as a compact manifold, or more generally on a compact met...
We show that recent results of Friedl-Vidussi and Chen imply that a symplectic manifold admits a fixed point free circle action if and only if it admits a symplectic circle action and we give a comple...

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