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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.
Artículo
Some relationships between intrinsic and extrinsic invariants of submanifolds in generalized S-space-forms
(Hacettepe University, 2015)
We establish some inequalities of Chen’s type between certain intrinsic invariants (involving sectional, Ricci and scalar curvatures) and the squared mean curvature of submanifolds tangent to the structure vector fields ...
Artículo
The contact number of a pseudo-Euclidean submanifold
(Mathematical Society of the Republic of China, 2008-10)
In this paper we define the contact number of a pseudo-Riemannian submanifold into the pseudo-Euclidean space, and prove that this contact number is closely related to the notion of pseudo-isotropic submanifold. We give ...
Artículo
Cellular covers of local groups
(Springer, 2018-12)
We prove that, in the category of groups, the composition of a cellularization and a localization functor need not be idempotent. This provides a negative answer to a question of Emmanuel Dror Farjoun.
Artículo
Minimal slant submanifolds of the smallest dimension in S-manifolds
(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 ...
Artículo
A contact version of B.-Y. Chen's inequality and its applications to slant immersions
(Kyungpook National University, 1999)
We establish a version of B.-Y. Chen’s inequality for a submanifold of a Sasakianspace-form, tangent to the structure vector field of the ambient space. We obtain some applications and we study this inequality for slant ...
Artículo
Optimal inequalities, contact delta-invariants and their applications
(Malaysian Mathematical Sciences Society, 2013)
Associated with a k-tuple (n1, . . . , nk) ∈ S(2n + 1) with n ≥ 1, we define a contact δ-invariant, δc (n1, . . . , nk), on an almost contact metric (2n + 1)-manifold M. For an arbitrary isometric immersion of M into a ...
Artículo
The contact magnetic flow in 3D Sasakian manifolds
(IOP Publishing, 2009-05-15)
We first present a geometrical approach to magnetic fields in three-dimensional Riemannian manifolds, because this particular dimension allows one to easily tie vector fields and 2-forms. When the vector field is divergence ...
Artículo
Semi-slant submanifolds of a Sasakian manifold
(Springer, 1999-11)
We define and study both bi-slant and semi-slant submanifolds of an almost contact metric manifold and, in particular, of a Sasakian manifold. We prove a characterization theorem for semi-slant submanifolds and we obtain ...
Artículo
Irreducible triangulations of the once-punctured torus
(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 ...