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Polyharmonic and Related Kernels on Manifolds: Interpolation and Approximation
manifold positive definite kernels least squares approximation Sobolev spaces
2011/2/24
This article is devoted to developing a theory for effective kernel interpolation and approximation in a general setting.
A simple Hamiltonian manifold is a closed connected symplectic manifold equipped with a Hamiltonian action of a torus T with moment map : M → t, such that MT has exactly two
connected components, ...
Symplectic generic complex structures on 4-manifolds with b_+ = 1
Symplectic generic complex structures 4-manifolds with b_+ = 1
2011/2/21
The twisting representation of the $L$-function of a curve
twisting representation $L$-function of a curve
2011/2/21
Let C be a smooth projective curve defined over a number field k and let C′ be a twist of C. For every isomorphism : C′! C defined over a finite Galois extension L/k, we introduce a rational Artin re...
On Leray's problem for almost periodic flows
Almost periodic flux channel flow Leray’s problem
2011/1/19
We prove existence and uniqueness for fully-developed (Poiseuille-type) flows in semiinfinite
cylinders, in the setting of (time) almost-periodic functions. In the case of Stepanov almostperiodic fun...
We introduce a parabolic flow of almost K¨ahler structures, providing a natural extension of K¨ahler Ricci flow onto symplectic manifolds. We exhibit this flow as one of a family of parabolic flows of...
Dispersive estimates and NLS on product manifolds
decay estimates dispersive equations hyperbolic space
2011/1/17
We prove a general dispersive estimate for a Schr¨odinger type equation on a product manifold, under the assumption that the equation restricted to each factor satisfies suitable dispersive estimates....
Unique Structure on G-equivariant Manifolds
Lie groups Transformation groups G-equivariant maps and Invariant-functions
2010/12/14
We will have a deep look at the set of all G-equivariant maps from the factor Lie group G to the under the action manifold M, both from “computational” and “observability” viewpoint. We will also be l...
Berezin-Toeplitz quantization on Kaehler manifolds
Berezin-Toeplitz quantization Kaehler manifolds
2010/12/10
We study the Berezin-Toeplitz quantization on K¨ahler manifolds. We explain first how to compute various associated asymptotic expansions, then we compute explicitly the first terms of the expansion o...
Kaehler immersions of homogeneous Kaehler manifolds into complex space forms
Kä hler metrics infinite dimensional complex space forms
2010/12/9
In this paper we study the homogeneous Kähler manifolds (h.K.m.) which can be Kähler immersed into finite or infinite dimensional complex space forms. On one hand we completely classify the
...
Anticanonical divisors and curve classes on Fano manifolds
Anticanonical divisors curve classes Fano manifolds
2010/12/6
It is well known that the Hodge conjecture with rational coefficients holds for degree 2n − 2 classes on complex projective n-folds. In this paper we study the more precise question if on a rati...
The Tambara-Yamagami categories and 3-manifold invariants
Tambara-Yamagami categories 3-manifold invariants
2010/12/3
We prove that if two Tambara-Yamagami categories T Y(A, , )and T Y(A′, ′, ′) give rise to the same state sum invariants of 3-manifolds and the order of one of the groups A,A′ is odd, then = ′ a...
AH3-manifolds of constant antiholomorphic sectional curvature
AH3-manifolds constant antiholomorphic sectional curvature
2010/12/6
The purpose of this paper is to prove that an AH3-manifold of constant antiholomorphic sectional curvature is a real space form or a complex space form.
Invariance of the Barycentric Subdivision of a Simplicial Complex
Invariance Barycentric Subdivision Simplicial Complex
2010/12/13
In this paper we show that a simplicial complex can be determined uniquely up to isomorphism by its barycentric subdivision or comparability graph. At the end, it is summarized several algebraic, comb...
Some submanifolds of almost contact manifolds with Norden metric
Norden metric almost contact manifold submanifold Lie group
2010/12/1
In this paper we study submanifolds of almost contact manifolds with Norden metric of codimension two with totally real normal spaces. Examples of such submanifolds as a Lie subgroups are constructed.