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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.
Partial Isometries of a Sub-Riemannian Manifold
Sub-Riemannian manifold partial isometry Carnot-caratheodory metric path-isometry
2010/12/13
In this paper, we obtain the following generalisation of isometric C1-immersion theorem of Nash and Kuiper. Let M be a smooth manifold of dimension m and H a rank k subbundle of the tangent bundle TM ...
Pseudodifferential operators on manifolds with foliated boundaries
Pseudodifferential operators manifolds with foliated boundaries
2010/12/9
Let X be a smooth compact manifold with boundary. For smooth foliations on the boundary of X admitting a ‘resolution’ in terms of a fibra-tion, we construct a pseudodifferential calculus generalizing ...
Quantum invariants of random 3-manifolds
quantum invariants random 3-manifolds Heegaard genus
2010/12/1
We consider the SO(3) Witten-Reshetikhin-Turaev quantum invariants
of random 3-manifolds. When the level r is prime, we show that the asymptotic distribution of the absolute value of these invariants...
Remarks on Oldroyd-B and Related Complex Fluids Models
Remarks on Oldroyd-B Related Complex Fluids Models
2010/11/26
We prove global existence and uniqueness of solutions of Oldroyd-B systems with relatively small data in Rd, in a large functional setting (C \ L1). This is a stability result,
solutions select an e...