Now showing items 1-10 of 31
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, ...
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 ...
Submanifolds weakly associated with graphs [Article]
(Indian Academy of Sciences, 2009-06)
We establish an interesting link between differential geometry and graph theory by defining submanifolds weakly associated with graphs. We prove that, in a local sense, every submanifold satisfies such an association, and ...
Generalized (κ,μ)-space forms [Article]
Generalized (κ, µ)-space forms are introduced and studied. We examine in depth the contact metric case and present examples for all possible dimensions. We also analyse the trans-Sasakian case.
Generalized S-space-forms with two structure vector fields [Article]
(De Gruyter, 2010-01)
We introduce and study generalized S-space-forms with two structure vector fields. We also present several examples of these manifolds such as certain hypersurfaces of Sasakianspace-forms, principal toroidal bundles and ...
Submanifolds of generalized Sasakian space forms [Article]
(Mathematical Society of the Republic of China, 2009-06)
In the present paper submanifolds of generalized Sasakian-spaceforms are studied. We focus on almost semi-invariant submanifolds, these generalize invariant, anti-invariant, and slant submanifolds. Sectional curvatures, ...
(k, µ)-Espacios de Curvatura Ø-Seccional constante generalizados [PhD Thesis]
A lo largo de los años, numerosos autores han estudiado la forma del tensor de curvatura de una variedad Riemanniana para intentar clasificarla. Buena parte de los trabajos que han aparecido sobre la materia son los que ...
Null pseudo-isotropic Lagrangian surfaces [Article]
(Polish Academy of Sciences, Institute of Mathematics, 2017)
In this paper we will show that a Lagrangian, Lorentzian surface M 2 1 in a complex pseudo space form Mf2 1 (4c) is pseudo-isotropic if and only if M is minimal. Next we will obtain a complete classification of all ...
Minimal slant submanifolds of the smallest dimension in S-manifolds [Article]
(European Mathematical Society, 2005)
We study slant submanifolds of S-manifolds with the smallest dimension, specially minimal submanifolds and establish some relations between them and anti-invariant submanifolds in S-manifolds, similar to those ones proved ...