New approach for the submanifolds of the Euclidean space.
New aspects on CR-structures of codimension 2 on hypersurfaces of Sasakian manifolds
We introduce a torsion free linear connection on a hypersurface in a Sasakian manifold on which we have defined in natural way a -structure of -codimension 2. We study the curvature properties of this connection and we give some interesting examples.
New boson realizations of quantum groups
New characterizations of linear Weingarten hypersurfaces immersed in the hyperbolic space
In this paper, we deal with complete linear Weingarten hypersurfaces immersed in the hyperbolic space , that is, complete hypersurfaces of whose mean curvature and normalized scalar curvature satisfy for some , . In this setting, under appropriate restrictions on the mean curvature and on the norm of the traceless part of the second fundamental form, we prove that such a hypersurface must be either totally umbilical or isometric to a hyperbolic cylinder of . Furthermore, a rigidity result...
New closure conditions and some problems in loop theory.
New Commutation Formulas In The Non-Symmetric Affine Connexion Space
New commutation formulas in the non-symmetric affine connexion space.
New constant mean curvature surfaces.
New efficient numerical method for 3D point cloud surface reconstruction by using level set methods
In this article, we present a mathematical model and numerical method for surface reconstruction from 3D point cloud data, using the level-set method. The presented method solves surface reconstruction by the computation of the distance function to the shape, represented by the point cloud, using the so called Fast Sweeping Method, and the solution of advection equation with curvature term, which creates the evolution of an initial condition to the final state. A crucial point for efficiency is...
New Einstein metrics on which are non-naturally reductive
We prove that there are at least two new non-naturally reductive invariant Einstein metrics on . It implies that every compact simple Lie group ...
New estimates for the first eigenvalue of the Jacobi operator on closed hypersurfaces in Riemannian space forms
We study the first eigenvalue of the Jacobi operator on closed hypersurfaces with constant mean curvature in non-flat Riemannian space forms. Under an appropriate constraint on the totally umbilical tensor of the hypersurfaces and following Meléndez's ideas in J. Meléndez (2014) we obtain a new sharp upper bound of the first eigenvalue of the Jacobi operator.
New examples of biharmonic maps in spheres
We give some new methods to construct nonharmonic biharmonic maps in the unit n-dimensional sphere 𝕊ⁿ.
New examples of compact cosymplectic solvmanifolds
In this paper we present new examples of -dimensional compact cosymplectic manifolds which are not topologically equivalent to the canonical examples, i.e., to the product of the -dimensional real torus and the -dimensional complex projective space, with and These new examples are compact solvmanifolds and they are constructed as suspensions with fibre the -dimensional real torus. In the particular case using the examples obtained, we conclude that a -dimensional compact flat orientable...
New examples of Einstein metrics in dimension four.
New Examples of imbedded spherical soap bubbles in SN (1).
New examples of manifolds with negative curvature
New Examples of Manifolds with Strictly Positive Curvature.
New examples of minimal Lagrangian tori in the complex projective plane.
New Examples of Weakly Symmetric Spaces.
New hyper-Käahler structures on tangent bundles
Let be an almost Hermitian manifold, then the tangent bundle carries a class of naturally defined almost hyper-Hermitian structures . In this paper we give conditions under which these almost hyper-Hermitian structures are locally conformal hyper-Kähler. As an application, a family of new hyper-structures is obtained on the tangent bundle of a complex space form. Furthermore, by restricting these almost hyper-Hermitian structures on the unit tangent sphere bundle , we obtain a class of almost...