Abstract: In this paper, we prove some optimal inequalities involving the intrinsic scalar curvature and the extrinsic Casorati curvature of submanifolds in a generalized complex space form with a semi-symmetric non-metric connection and a generalized Sasakian space form with a semi-symmetric non-metric connection. Moreover, we show that in both cases, the equalities hold if and only if submani...

We review the recently discovered connection between the Belinsky-Khalatnikov-Lifshitz-like “chaotic” structure of generic cosmological singularities in eleven-dimensional supergravity and the “last” hyperbolic Kac-Moody algebra E10. This intriguing connection suggests the existence of a hidden “correspondence” between supergravity (or even M-theory) and null geodesic motion on the infinite-dim...

Modifications to the standard finite element mass matrix are considered with the aim of preserving the positivity of the discrete solution. The approach is used in connection with calculating the initial time derivative values for parabolic equations and in connection with nonlinear Petrov-Galerkin schemes for hyperbolic equations in one space dimension. The extension of the ideas to unstructur...

The connection between four different approaches to quantization of the relativistic particle is studied: reduced phase space quantization, Dirac quantization, BRST quantization, and (BRST)-Fock quantization are each carried out. The connection to the BFV path integral in phase space is provided. In particular, it is concluded that that the full range of the lapse should be used in such path in...

Recent studies have discovered that the Internet delay space has many interesting properties such as triangle inequality violations (TIV), clustering structures, and constrained growth. Understanding these properties has so far benefited the design of network models and network-performance-aware systems. In this paper, we consider an interesting, previously unexplored connection between Interne...

Automated theorem proving with connection tableau calculi imposes search problems in tremendous search spaces. In this paper, we present a new approach to search space reduction in connection tableau calculi. In our approach structurally similar parts of the search space are compressed by means of disjunctive constraints. We describe the necessary changes of the calculus, and we develop elabora...

The paper deals with reciprocity relations in bianisotropic electromagnetic materials. Conditions for reciprocity are expressed and discussed in connection with macroscopic and microscopic level of consideration and with space-time symmetry properties of media. Newly is the connection between microscopic and macroscopic treatment to reciprocity theorem analyzed namely with respect to composed b...

To investigate the seismic behavior of end-plate connection semi-rigid space steel frames, three 1/4-scale specimens were tested under cyclic load. Finite element analysis which took initial geometric imperfections into consideration was also conducted, and the results conform to experimental results. The failure modes, hysteretic behavior, deformation capacity and energy-dissipation capacity o...

In this note the geometry of the indicatrix (I, L̃) is studied as a hypersurface of a complex Finsler space (M,L). The induced Chern-Finsler and Berwald connections are defined and studied. The induced Berwald connection coincides with the intrinsic Berwald connection of the indicatrix bundle. We considered a special projection of a geodesic curve on a complex Finsler space (M,L), called the ind...