Four mutually dependent facts are proven. • A smooth saddle sphere in S has at least four inflection arches. • Each hyperbolic hérisson H generates an arrangement of disjoint oriented great semicircles on the unit sphere S. On the one hand, the semicircles correspond to the horns of the hérisson. On the other hand, they correspond to the inflection arches of the graph of the support function hH...

In this paper, we prove that, for compact warped product submanifolds Mn in an Euclidean space En+k, there are no stable p-currents, homology groups vanishing, and M3 is homotopic to the sphere S3 under various extrinsic restrictions, involving eigenvalue of function, integral Ricci curvature, Hessian tensor. The results paper can be considered extension Xin’s work framework a submanifold, when...

This paper presents a low-density parity check(LDPC) coded multiple-input multipleoutput(MIMO) cooperative communication system with relay selection strategy. In the proposed cooperative network with multiple potential relays, we present selection cooperation to choose the best relay. We also present the outage probability analysis of this system. Furthermore, in the proposed architecture relay...

Recently infimal convolution type functions were used in regularization terms of variational models for restoring and decomposing images. This is the first attempt to generalize the infimal convolution of first and second order differences to manifold-valued images. We propose both an extrinsic and an intrinsic approach. Our focus is on the second one since the summands arising in the infimal c...

We present a new technique for calibrating video cameras for intrinsic and extrinsic parameters. We use spheres as calibration objects. Our approach uses a new key result that the major axis of the ellipse image resulting from the perspective projection of sphere would pass through the optical center of the image 1]]2]. In this paper we do not prove this result but simply use it to build the pr...

We study the geometrical properties of a unit vector field on a Riemann-ian 2-manifold, considering the field as a local imbedding of the manifold into its tangent sphere bundle with the Sasaki metric. For the case of constant curvature K, we give a description of the totally geodesic unit vector fields for K = 0 and K = 1 and prove a non-existence result for K = 0, 1. We also found a family ξω...

We study the geometrical properties of a unit vector field on a Riemann-ian 2-manifold, considering the field as a local imbedding of the manifold into its tangent sphere bundle with the Sasaki metric. For the case of constant curvature K, we give a description of the totally geodesic unit vector fields for K = 0 and K = 1 and prove a non-existence result for K = 0, 1. We also found a family ξω...

We investigate some geometric aspects of lightlike hypersurfaces of indefinite Kenmotsu manifolds, tangent to the structure vector field, by paying attention to the geometry of leaves of integrable distributions. Theorems on parallel vector fields, Killing distribution, geodesibility of those leaves are obtained. The geometrical configuration of such lightlike hypersurfaces and leaves of its sc...

This work considers the new design of variational probabilistic method for code-divisionmultiple access CDMA system over unknown frequency-selective channels by decomposing of the observation data into a number of signal components. The author designs the virtual trellis model representing the ISI channel for each separating signal user. The design of virtual trellis is used to generate extrins...

The infinite-dimensional Hilbert sphere S? has been widely employed to model density functions and shapes, extending the finite-dimensional counterpart. We consider Fréchet mean as an intrinsic summary of central tendency data lying on S?. For sound statistical inference, we derive properties by establishing its existence uniqueness well a root-n limit theorem (CLT) for sample version, overcomi...