Now showing items 1-10 of 243
Normal approximations of regular curves and surfaces [Article]
(Faculty of Sciences and Mathematics, University of Nis, Serbia, 2015)
Bezier curves and surfaces are two very useful tools in Geometric Modeling, with many applications. In this paper, we will offer a new method to provide approximations of regular curves and surfaces by Bezier ones, with ...
A classification of totally geodesic and totally umbilical Legendrian submanifolds of (κ, μ)-spaces [Article]
We present classifications of totally geodesic and totally umbilical Legendrian submanifolds of (κ, µ)-spaces with Boeckx invariant I ≤ −1. In particular, we prove that such submanifolds must be, up to local isometries, ...
A historical perspective of the theory of isotopisms [Article]
In the middle of the twentieth century, Albert and Bruck introduced the theory of isotopisms of non-associative algebras and quasigroups as a generalization of the classical theory of isomorphisms in order to study and ...
On certain anti-invariant submanifolds of an S-manifold [Article]
(Sociedade Portuguesa de Matemática, 1993)
In this paper, the geometry of certain anti-invariant submanifolds of an S-manifold, namely those which are normal to the structure vector fields, is studied.
Irreducible triangulations of the once-punctured torus [Article]
(Sobolev Institute of Mathematics, 2018)
A triangulation of a surface with fixed topological type is called irreducible if no edge can be contracted to a vertex while remaining in the category of simplicial complexes and preserving the topology of the surface. A ...
CR-products of S-manifolds [Article]
(Sociedade Portuguesa de Matemática, 1990)
In this paper certain CR-submanifolds namely the CR-products, are studied. A characterization theorem is given and the case of CR-products of S-manifolds whose invariant f-sectional curvature is constant, is investigated.
Some special types of developable ruled surface [Article]
(Hacettepe University (Faculty of Science), 2010)
In this study we consider the focal curve Cγ of a space curve γ and its focal curvatures. We characterize some special types of ruled surface, choosing one of the base curves or director curves as the focal curve of the ...
Un ejemplo de teoría de bordismo equivalente al PL-bordismo [Article]
(Academia de Ciencias Exactas, Físicas, Químicas y Naturales de Zaragoza, 1983)
In this paper we define the CPL-manifolds and we prove, by using a desingularization procedure, that these objects give a bordism theory which is equivalente to the PL-bordism. It's interesting to note that the famíly CPL ...
A particular type of non-associative algebras and graph theory [Presentation]
(World Scientific and Engineering Academy and Society Press, 2011)
Evolution algebras have many connections with other mathematical fields, like group theory, stochastics processes, dynamical systems and other related ones. The main goal of this paper is to introduce a novel non-usual ...
Obtaining combinatorial structures associated with low-dimensional Leibniz algebras [Presentation]
In this paper, we analyze the relation between Leibniz algebras and combinatorial structures. More concretely, we study the properties to be satisfied by (pseudo)digraphs so that they are associated with low-dimensional ...