Semilinear equations, the function, and generalized Gauduchon metrics
In this paper, we generalize the Gauduchon metrics on a compact complex manifold and define the functions on the space of its hermitian metrics.
Semi-rigid CR structures and holomorphic extendability
Separation, factorization and finite sheaves on Nash manifolds
Separation of variables in the problems of normal and compact solvability of the exterior derivation operator.
Seven-dimensional considerations of Einstein's connection. II: The recurrence relations of the second and third kind in 7--UFT.
Seven-dimensional considerations of Einstein's connection. I: The recurrence relations of the first kind in --UFT.
Seven-dimensional considerations of Einstein'sconnection. III: The seven-dimensional Einstein's connection.
Simple germs of corank one affine distributions
Simplicial types and polynomial algebras
This paper shows that the simplicial type of a finite simplicial complex is determined by its algebra of polynomial functions on the baricentric coordinates with coefficients in any integral domain. The link between and is done through certain admissible matrix associated to in a natural way. This result was obtained for the real numbers by I. V. Savel’ev [5], using methods of real algebraic geometry. D. Kan and E. Miller had shown in [2] that determines the homotopy type of the polyhedron...
Singular foliations and differential -forms
Singularités d'ordre supérieur de 1-formes, 2-formes et équations de Pfaff
Singularities and normal forms of generic 2-distributions on 3-manifolds
We give a complete classification of germs of generic 2-distributions on 3-manifolds. By a 2-distribution we mean either a module generated by two vector fields (at singular points its dimension decreases) or a Pfaff equation, i.e. a module generated by a differential 1-form (at singular points the dimension of its kernel increases).
Singularities and normal forms of smooth distributions
In this expository paper we present main results (from classical to recent) on local classification of smooth distributions.
Singularities of envelopes of families of submanifolds in
Singularities of k-tuples of vector fields [Book]
Singularity classes of special 2-flags.
Six-dimensional considerations of Einstein's connection for the first two-classes. I: The recurrence relations in 6--UFT.
Size minimizing surfaces
We prove a new existence theorem pertaining to the Plateau problem in -dimensional Euclidean space. We compare the approach of E.R. Reifenberg with that of H. Federer and W.H. Fleming. A relevant technical step consists in showing that compact rectifiable surfaces are approximatable in Hausdorff measure and in Hausdorff distance by locally acyclic surfaces having the same boundary.
Ski de fond
Smooth singular solutions of hyperplane fields. I