Sobre inmersiones isométricas de variedades rienmmannianas en espacios euclideos.
Sobre la dualidad entre el teorema de Gauss-Bonnet y la integral de geodésicas que cortan a una curva sobre una superficie.
Sobre los cuerpos convexos de anchura constante en
Soldered double linear morphisms
Our aim is to show a method of finding all natural transformations of a functor into itself. We use here the terminology introduced in [4,5]. The notion of a soldered double linear morphism of soldered double vector spaces (fibrations) is defined. Differentiable maps commuting with -soldered automorphisms of a double vector space are investigated. On the set of such mappings, appropriate partial operations are introduced. The natural transformations are bijectively related with the elements...
Solution of problem l (Vol. l (1953), p. 171) - 3 (Vol.1(1953),p172)
Solutions asymptotiques et groupe symplectique
Solutions of DEs and PDEs as potential maps using first order Lagrangians.
Solutions of the constraint equations in general relativity satisfying "hyperboloidal boundary conditions" [Book]
Soluzioni di tipo barriera
We present the general theory of barrier solutions in the sense of De Giorgi, and we consider different applications to ordinary and partial differential equations. We discuss, in particular, the case of second order geometric evolutions, where the barrier solutions turn out to be equivalent to the well-known viscosity solutions.
Solving non-holonomic Lagrangian dynamics in terms of almost product structures.
Given a Lagrangian system with non-holonomic constraints we construct an almost product structure on the tangent bundle of the configuration manifold such that the projection of the Euler-Lagrange vector field gives the dynamics of the system. In a degenerate case, we develop a constraint algorithm which determines a final constraint submanifold where a completely consistent dynamics of the initial system exists.
Solving -Laplacian equations on complete manifolds.
Some 2-type submanifolds and applications
Some Additive Designs
Given a finite additive abelian group and an integer , with , denote by the simple incidence structure whose point-set is and whose blocks are the -subsets of such that . It is known (see [Caggegi, A., Di Bartolo, A., Falcone, G.: Boolean 2-designs and the embedding of a 2-design in a group arxiv 0806.3433v2, (2008), 1–8.]) that is a 2-design, if is an elementary abelian -group with a prime divisor of . From [Caggegi, A., Falcone, G., Pavone, M.: On the additivity of block...
Some affine properties of the -symplectic manifolds.
Some algebraic models for differential geometry of second order [Abstract of thesis]
Some algebraic theorems on vector-valued forms and their geometric applications
Some applications of Cartain's theory on three-dimensional Cauchy-Riemann geometry.
Some applications of Ricci flow to 3-manifolds
Some aspects of the homogeneous formalism in field theory and gauge invariance
We propose a suitable formulation of the Hamiltonian formalism for Field Theory in terms of Hamiltonian connections and multisymplectic forms where a composite fibered bundle, involving a line bundle, plays the role of an extended configuration bundle. This new approach can be interpreted as a suitable generalization to Field Theory of the homogeneous formalism for Hamiltonian Mechanics. As an example of application, we obtain the expression of a formal energy for a parametrized version of the Hilbert–Einstein...
Some aspects of the Laplace operator in negative curvature