-convex Riemannian submanifolds.
Hamiltonian flows of curves in and vector soliton equations of mKdV and sine-Gordon type.
Hamiltonian systems, Lagrangian tori and Birkhoffs's theorem.
Hamilton-Jacobi theory and moving frames.
Handle attaching in symplectic homology and the Chord Conjecture
Arnold conjectured that every Legendrian knot in the standard contact structure on the 3-sphere possesses a haracteristic chord with respect to any contact form. I confirm this conjecture if the know has Thurston-Bennequin invariant . More generally, existence of chords is proved for a standard Legendrian unknot on the boundary of a subcritical Stein manifold of any dimension. There is also a multiplicity result which implies in some situations existence of infinitely many chords. The proof relies...
H-anti-invariant submersions from almost quaternionic Hermitian manifolds
As a generalization of anti-invariant Riemannian submersions and Lagrangian Riemannian submersions, we introduce the notions of h-anti-invariant submersions and h-Lagrangian submersions from almost quaternionic Hermitian manifolds onto Riemannian manifolds. We obtain characterizations and investigate some properties: the integrability of distributions, the geometry of foliations, and the harmonicity of such maps. We also find a condition for such maps to be totally geodesic and give some examples...
Hard balls gas and Alexandrov spaces of curvature bounded above.
Harder-Narasimhan filtrations and optimal destabilizing vectors in complex geometry
We give here a generalization of the theory of optimal destabilizing 1-parameter subgroups to non algebraic complex geometry : we consider holomorphic actions of a complex reductive Lie group on a finite dimensional (possibly non compact) Kähler manifold. In a second part we show how these results may extend in the gauge theoretical framework and we discuss the relation between the Harder-Narasimhan filtration and the optimal detstabilizing vectors of a non semistable object....
Hardy inequalities in strips on ruled surfaces.
Hardy spaces on affine symmetric spaces.
Harmonic 4-Spaces.
Harmonic almost-complex structures
Harmonic analysis and Radon transforms on pencils of geodesics.
Harmonic Analysis for Vector Fields on Hyperbolic Spaces.
Harmonic and Minimal Unit Vector Fields on the Symmetric Spaces and
The exceptional compact symmetric spaces and admit cohomogeneity one isometric actions with two totally geodesic singular orbits. These singular orbits are not reflective submanifolds of the ambient spaces. We prove that the radial unit vector fields associated to these isometric actions are harmonic and minimal.
Harmonic and quasi-harmonic spheres, part III. Rectifiablity of the parabolic defect measure and generalized varifold flows
Harmonic cohomology classes of symplectic manifolds.
Harmonic conformal flows on manifolds of constant curvature
We compute the energy of conformal flows on Riemannian manifolds and we prove that conformal flows on manifolds of constant curvature are critical if and only if they are isometric.
Harmonic curvatures in Lorentzian space.
Harmonic diffeomorphisms and Teichmüller theory.