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Artículo
Rigidity of pseudo-isotropic immersions
(Elsevier, 2009-07)
Several notions of isotropy of a (pseudo)Riemannian manifold have been introduced in the literature, in particular, the concept of pseudo-isotropic immersion. The aim of this paper is to look more closely at this notion ...
Artículo
Graphs associated with nilpotent Lie algebras of maximal rank
(European Mathematical Society, 2003)
In this paper, we use the graphs as a tool to study nilpotent Lie algebras. It implies to set up a link between graph theory and Lie theory. To do this, it is already known that every nilpotent Lie algebra of maximal rank ...
Artículo
Minimal covers of open manifolds with half-spaces and the proper L-S category of product spaces
(Belgian Mathematical Society, 2002-09)
Classical results about the Lusternik-Schnirelmann category of product spaces have their analogues in the category of proper maps. By comparing the proper Lusternik-Schnirelmann category of an open manifold X with ...
Artículo
Artículo
B.-Y. Chen's inequality for submanifolds of generalized space forms
(Indian National Science Academy, 2007-06)
In this article, we investigate sharp inequalities involving δ-invariants for submanifolds in both generalized complex space forms and generalized Sasakian space forms, with arbitrary codimension.
Tesis Doctoral
Artículo
Homotopy in digital spaces
(Elsevier, 2003-01-15)
The main contribution of this paper is a new “extrinsic” digital fundamental group that can be readily generalized to define higher homotopy groups for arbitrary digital spaces. We show that the digital fundamental group ...
Artículo
Computational algorithm for obtaining Abelian subalgebras in Lie algebras
(World Academy of Science, Engineering and Technology, 2009)
The set of all abelian subalgebras is computationally obtained for any given finite-dimensional Lie algebra, starting from the nonzero brackets in its law. More concretely, an algorithm is described and implemented to ...
Ponencia
Basic concepts on Lorentz simmetry and Minkowsky isogeometry by using the MCIM isotopic model
(2004-09)
At 1978, R.M. Santilli proposed to generalize the conventional Lie theory by using isotopies. To do it, he considered that the basic unit of any mathematical structure can depend on external factors (such as positions, ...
Artículo
Minimal linear representations of the low-dimensional nilpotent lie algebras
(2008)
The main goal of this paper is to compute a minimal matrix representation for each non-isomorphic nilpotent Lie algebra of dimension less than 6. Indeed, for each of these algebras, we search the natural number n ∈ N \ ...