Submanifolds with harmonic mean curvature in pseudo-Hermitian geometry
We classify Hopf cylinders with proper mean curvature vector field in Sasakian 3-manifolds with respect to the Tanaka-Webster connection.
Submersions and equivariant Quillen metrics
In this paper, we calculate the behaviour of the equivariant Quillen metric by submersions. We thus extend a formula of Berthomieu-Bismut to the equivariant case.
Submersions sur le cercle
Subriemannian geodesics of Carnot groups of step 3
In Carnot groups of step ≤ 3, all subriemannian geodesics are proved to be normal. The proof is based on a reduction argument and the Goh condition for minimality of singular curves. The Goh condition is deduced from a reformulation and a calculus of the end-point mapping which boils down to the graded structures of Carnot groups.
Sub-Riemannian Metrics: Minimality of Abnormal Geodesics versus Subanalyticity
We study sub-Riemannian (Carnot-Caratheodory) metrics defined by noninvolutive distributions on real-analytic Riemannian manifolds. We establish a connection between regularity properties of these metrics and the lack of length minimizing abnormal geodesics. Utilizing the results of the previous study of abnormal length minimizers accomplished by the authors in [Annales IHP. Analyse nonlinéaire 13, p. 635-690] we describe in this paper two classes of the germs of distributions (called 2-generating...
Sufficiency of condition () for local solvability in two dimensions
Sufficiency of Jets via Stratification Theory.
Sufficient condition for Pareto optimization in Banach spaces
Sufficient decrease principle on Riemannian manifolds.
Sui teoremi di De Rham
Sulla coomologia intera delle varietà differenziabili
Sulla differenziabilità di un operatore legato a una classe di sistemi differenziali quasi-lineari
Sulle classi di Dolbeault di tipo con singolarità in un insieme discreto
This paper shows how some techniques used for the meromorphic functions of one variable can be used for the explicit construction of a solution to the Mittag-Leffler problem for Dolbeault classes of tipe with singularities in a discrete set of and (a -dimensional complex torus). A generalisation is given for the Weierstrass and the Legendre relations.
Sulle equazioni paraboliche semilineari di ordine arbitrario in uno spazio di Banach
Super boson-fermion correspondence
We establish a super boson-fermion correspondence, generalizing the classical boson-fermion correspondence in 2-dimensional quantum field theory. A new feature of the theory is the essential non-commutativity of bosonic fields. The superbosonic fields obtained by the super bosonization procedure from super fermionic fields form the affine superalgebra . The converse, super fermionization procedure, requires introduction of the super vertex operators. As applications, we give vertex operator constructions...
Super Wilson Loops and Holonomy on Supermanifolds
The classical Wilson loop is the gauge-invariant trace of the parallel transport around a closed path with respect to a connection on a vector bundle over a smooth manifold. We build a precise mathematical model of the super Wilson loop, an extension introduced by Mason-Skinner and Caron-Huot, by endowing the objects occurring with auxiliary Graßmann generators coming from -points. A key feature of our model is a supergeometric parallel transport, which allows for a natural notion of holonomy on...
Superconformal-like transformations and nonlinear realizations.
Superconnection currents and complex immersions.
Superconnections: an interpretation of the standard model.
Superconnections and Higher Index Theory.