We apply the reduced radial gauge to give the general solution of the metric in 2+1 dimensions in term of quadratures. It allows a complete controll on the support of the source. We use the result to prove that for a general stationary universe, conical at infinity, the weak energy condition and the absence of CTC at space infinity prevent the occurrrence of any CTC. Recently there has been a l...

The metric dimension of a graph Γ is the least number of vertices in a set with the property that the list of distances from any vertex to those in the set uniquely identifies that vertex. We consider the Grassmann graph Gq(n,k) (whose vertices are the k-subspaces of Fq, and are adjacent if they intersect in a (k− 1)-subspace) for k ≥ 2. We find an upper bound on its metric dimension, which is ...

We examine a class of conformal metrics arising in the \N = 2 supersymmetric Yang-Mills theory" of Seiberg and Witten. We provide several alternate characterizations of this class of metrics and proceed to examine issues of existence and boundary behavior and to parameterize the collection of Seiberg-Witten metrics with isolated non-essential singularities on a xed compact Riemann surface. In c...

Motivated by Poincar\'e's orbits going to infinity in the (restricted) three-body (see [26] and [6]), we investigate generic existence of heteroclinic-like a neighbourhood critical set $b$-contact form. This is done using singular counterpart [3] Etnyre--Ghrist's contact/Beltrami correspondence [9], genericity results concerning eigenfunctions Laplacian established Uhlenbeck [29]. Specifically,...

Barry W. Boehm, Ph.D. Christopher M. Abts, M.S. Elizabeth K. Bailey, Ph.D. Center for Software Engineering Center for Software Engineering University of Southern California University of Southern California Software Metrics, Inc. 941 W. 37 Place, SAL 328 941 W. 37 Place, SAL 328 4345 High Ridge Road Los Angeles, CA 90089-0781 Los Angeles, CA 90089-0781 Haymarket, Virginia 20169 +1-213-740-5703 ...

The $r$ -th generalized Hamming metric and the notation="LaTeX">$b$ -symbol are two different generalizations of metric. former is used on wire-tap channel Type II, latter motivated by limitations reading process in high-density data ...

In a recent paper, Khojasteh emph{et al.} [F. Khojasteh, S. Shukla, S. Radenovi'c, A new approach to the study of fixed point theorems via simulation functions, Filomat, 29 (2015), 1189-–1194] presented a new class of simulation functions, say $mathcal{Z}$-contractions, with unifying power over known contractive conditions in the literature. Following this line of research, we extend and ...

In this paper, we present some fixed and coincidence point theorems for hybrid rational Geraghty contractive mappings in partially ordered $b$-metric spaces. Also, we derive certain coincidence point results for such contractions. An illustrative example is provided here to highlight our findings.