Topological quantum field theory
Topological tools for the prescribed scalar curvature problem on S n
In this paper, we consider the problem of the existence of conformal metrics with prescribed scalar curvature on the standard sphere S n, n ≥ 3. We give new existence and multiplicity results based on a new Euler-Hopf formula type. Our argument also has the advantage of extending well known results due to Y. Li [16].
Topologie de contact en dimension 3
Topologie du feuilletage fortement stable
Soient une variété de Hadamard de courbure et un groupe d’isométries non élémentaire. Nous montrons qu’il y a équivalence entre la non-arithméticité du spectre des longueurs de , le mélange topologique du flot géodésique et l’existence d’une feuille dense pour le feuilletage fortement stable.
Topologie symplectique, convexité holomorphe et structures de contact
Topology and geometry of complete submanifolds in euclidean spaces
This paper is a survey of results on topological structures and curvature structures of complete submanifolds in a Euclidean space.
Topology of plane sections of periodic polyhedra with an application to the truncated octahedron.
Torelli theorems for Kähler K3 surfaces
Tores finslériens sans points conjugués
Toric Hermitian surfaces and almost Kähler structures
The aim of this paper is to investigate the class of compact Hermitian surfaces (M,g,J) admitting an action of the 2-torus T² by holomorphic isometries. We prove that if b₁(M) is even and (M,g,J) is locally conformally Kähler and χ(M) ≠ 0 then there exists an open and dense subset U ⊂ M such that is conformally equivalent to a 4-manifold which is almost Kähler in both orientations. We also prove that the class of Calabi Ricci flat Kähler metrics related with the real Monge-Ampère equation is a...
Toric hyperkähler varieties.
Toric structures on near-symplectic 4-manifolds
A near-symplectic structure on a 4-manifold is a closed 2-form that is symplectic away from the 1-dimensional submanifold along which it vanishes and that satisfies a certain transversality condition along this vanishing locus. We investigate near-symplectic 4-manifolds equipped with singular Lagrangian torus fibrations which are locally induced by effective Hamiltonian torus actions. We show how such a structure is completely characterized by a singular integral affine structure on the base of...
Toroidal Lie group actions on compact Riemannian manifolds and their relations to the fibering problem.
Torsion and closed geodesics on complex hyperbolic manfolds.
Torsion and the second fundamental form for distributions
The second fundamental form of Riemannian geometry is generalised to the case of a manifold with a linear connection and an integrable distribution. This bilinear form is generally not symmetric and its skew part is the torsion. The form itself is closely related to the shape map of the connection. The codimension one case generalises the traditional shape operator of Riemannian geometry.
Torsion, curvature and deflection -tensors on .
Torsion Free Connections, Topology, Geometry and Differential Operators on Smooth Manifolds
Torsion Tensor and Critical Metrics on Contact (2n + 1)-Manifolds.
Torsion von Minimalflächen.
Torsions of connections on higher order cotangent bundles
By a torsion of a general connection on a fibered manifold we understand the Frölicher-Nijenhuis bracket of and some canonical tangent valued one-form (affinor) on . Using all natural affinors on higher order cotangent bundles, we determine all torsions of general connections on such bundles. We present the geometrical interpretation and study some properties of the torsions.