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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...
Lagrangian Floer theory and mirror symmetry on compact toric manifolds
Floer cohomology mirror symmetry toric manifolds open-closed Gromov-Witten invariant
2010/12/1
this paper we study Lagrangian Floer theory on toric manifolds from the point of view of mirror symmetry. We construct a natural isomorphism between the Frobenius manifold structures of the (big) quan...
Pin^-(2)-monopole equations and intersection forms with local coefficients of 4-manifolds
4-manifold intersection form Seiberg-Witten equations
2010/12/8
We introduce a variant of the Seiberg-Witten equations, Pin−(2)-monopole equations, and give its applications to intersection forms with local coefficients of 4-manifolds. The first application ...
A Hierarchy of Local Symplectic Filling Obstructions for Contact 3-Manifolds
Local Symplectic Filling Obstructions Contact 3-Manifolds
2010/12/6
We generalize the familiar notions of overtwistedness and Giroux torsion in 3-dimensional contact manifolds, defining an infinite hierarchy of local filling obstructions called planar torsion, whose i...
Gradient flow structure for domain relaxation in Langmuir films
Gradient flow structure domain relaxation Langmuir films
2010/11/26
We describe a gradient flow structure for the inviscid Langmuir layer Stokesian subfluid model introduced recently by Alexander et al [1].
A volumetric Penrose inequality for conformally flat manifolds
volumetric Penrose inequality conformally flat manifolds
2010/12/1
We consider asymptotically flat Riemannian manifolds with nonnegative scalar curvature that are conformal to Rn \ , n 3, and so that their boundary is a minimal hypersurface.
Oeljeklaus-Toma manifolds admitting no complex subvarieties
Locally conformally K¨ahler manifold K¨ahler potential positive bundle
2010/11/30
The Oeljeklaus-Toma (OT-) manifolds are complex manifolds constructed by Oeljeklaus and Toma from certain number fields, and generalizing the Inoue surfaces Sm.
Holomorphic Cartan geometries, Calabi--Yau manifolds and rational curves
Cartan geometry holomorphic connection Calabi–Yau manifold rational curve
2010/12/14
We prove that if a Calabi–Yau manifold M admits a holomorphic Cartan geometry, then M is covered by a complex torus. This is done by establishing the Bogomolov inequality for semistable sheaves on com...
Almost Kähler manifolds of constant antiholomorphic sectional curvature
Kä hler manifolds constant antiholomorphic sectional curvature
2010/12/6
We prove that an AK2-manifold of dimension 2m ≥ 6 and of pointwise constant antiholomorphic
sectional curvature is either a 6-dimensional manifold of constant negative sectional curvature or is local...
Schur's theorem of antiholomorphic type for quasi-Kählerian manifolds
Schur's theorem antiholomorphic type quasi-Kä hlerian manifolds
2010/12/6
Let M be an almost Hermitian manifold with dimM = 2n, a metric tensor g and an almost complex structure J. The Ricci tensor and the scalar curvature with regard to the curvature tensor R are denoted b...
Nearly Kähler manifolds of constant antiholomorphic sectional curvature
Kä hler manifolds constant antiholomorphic sectional curvature
2010/12/6
In this paper we consider nearly K¨ahler manifolds of pointwise constant antiholomorphic
sectional curvature. An analogue of Schur’s theorem is proved and a classification theorem
for such manifolds...
Time-dependent Mechanics and Lagrangian submanifolds of Dirac manifolds
Time-dependent Mechanics presymplectic structures Poisson structures
2010/11/26
A description of time-dependent Mechanics in terms of Lagrangian submanifolds of presymplectic and Poisson manifolds is presented. Two new Tulczyjew triples are discussed. The first one is adapted to ...