Bianchi identities, Yang-Mills and Higgs field produced on -deformed bundle.
Bibliographie: Sur les correspondances entre deux espaces
Bifurcation for Monge-Ampère Equations on Flat Tori.
Bifurcation of periodic orbits of time dependent Hamiltonian systems on symplectic manifolds.
Bifurcation of the equivariant minimal interfaces in a hydromechanics problem.
Bifurcations of affine invariants for one-parameter family of generic convex plane curves
We study affine invariants of plane curves from the view point of the singularity theory of smooth functions. We describe how affine vertices and affine inflexions are created and destroyed.
Bihamiltonian systems in the quantum-classical transition
Biharmonic anti-invariant submanifolds in Sasakian space forms.
Biharmonic curves in Lorentzian para-Sasakian manifolds.
Biharmonic curves in Minkowski 3-space.
Biharmonic curves in Minkowski 3-space. II.
Biharmonic curves in the generalized Heisenberg group.
Biharmonic maps between doubly warped product manifolds.
Biharmonic Riemannian maps
We give necessary and sufficient conditions for Riemannian maps to be biharmonic. We also define pseudo-umbilical Riemannian maps as a generalization of pseudo-umbilical submanifolds and show that such Riemannian maps put some restrictions on the target manifolds.
Biharmonic submanifolds in 3-dimensional -manifolds.
Biholomorphic curvature of an almost Hermitian manifold.
Bi-Legendrian connections
We define the concept of a bi-Legendrian connection associated to a bi-Legendrian structure on an almost -manifold . Among other things, we compute the torsion of this connection and prove that the curvature vanishes along the leaves of the bi-Legendrian structure. Moreover, we prove that if the bi-Legendrian connection is flat, then the bi-Legendrian structure is locally equivalent to the standard structure on .
Bilinear forms and extremal Kähler vector fields associated with Kähler classes.
Bilinéarité et géométrie affine attachées aux espaces de spineurs complexes, minkowskiens ou autres
BiLipschitz Decomposition of Lipschitz Maps between Carnot Groups
Let f : G → H be a Lipschitz map between two Carnot groups. We show that if B is a ball of G, then there exists a subset Z ⊂ B, whose image in H under f has small Hausdorff content, such that BZcan be decomposed into a controlled number of pieces, the restriction of f on each of which is quantitatively biLipschitz. This extends a result of [14], which proved the same result, but with the restriction that G has an appropriate discretization. We provide an example of a Carnot group not admitting such...