作者：Tsvetan Vetsov , Radoslav Rashkov 来源：[C].Proceedings of the Nineteenth International Conference on Geometry, Integrability and Quantization2018Project Euclid 摘要：We derive the extended entanglement entropy and the Fisher information metric in the case of quantum models, described by time-independent diagonal quadratic Hamiltonians. Our research is conducted within the framework of Thermo field dynamics. We also study the properties of the...
 作者：Lenka Rýparová , Josef Mikeš 来源：[C].Proceedings of the Nineteenth International Conference on Geometry, Integrability and Quantization2018Project Euclid 摘要：This paper is denoted to further study of geodesic bifurcation on surfaces of revolution. We demonstrate an example of bifurcation of closed geodesics on surfaces.
 作者：Viktor Olevskyi , Yuliia Olevska 来源：[C].Proceedings of the Nineteenth International Conference on Geometry, Integrability and Quantization2018Project Euclid 摘要：For multiple Fourier series the convergence of partial sums essentially depends on the type of integer sets, to which the sequence numbers of their terms belong. The problem on the general form of such sets is studying in $u$-convergence theory ($u(K)$ - convergence) for multiple...
 作者：Clementina D. Mladenova , Danail S. Brezov , Ivaïlo M. Mladenov 来源：[C].Proceedings of the Nineteenth International Conference on Geometry, Integrability and Quantization2018Project Euclid 摘要：In the present paper we investigate an alternative two-axes decomposition method for rotations that has been proposed in our earlier research. It is shown to provide a convenient parametrization for many important physical systems. As an example, the kinematics of a rotating rigi...
 作者：Sava Savov 来源：[C].Proceedings of the Nineteenth International Conference on Geometry, Integrability and Quantization2018Project Euclid 摘要：Four mathematical models of classical electrodynamics based on vector fields, tensor spaces, geometric algebras and differential forms are represented in parallel and compared.
 作者：Irena Hinterleitner , Nadezda Guseva , Josef Mikeš 来源：[C].Proceedings of the Nineteenth International Conference on Geometry, Integrability and Quantization2018Project Euclid 摘要：In the present paper we prove non-existence theorems for conformal mappings of compact (pseudo-)Riemannian manifolds onto Einstein manifolds without boundary. We obtained certain conditions for which these mappings are only trivial.
 作者：Akira Yoshioka 来源：[C].Proceedings of the Nineteenth International Conference on Geometry, Integrability and Quantization2018Project Euclid 摘要：We introduce star products for certain function space containing polynomials, and then we obtain an associative algebra of functions. In this algebra we can consider exponential elements, which are called star exponentials. Using star exponentials we can define star functions in ...
 作者：Paul T. Smith 来源：[C].Proceedings of the Nineteenth International Conference on Geometry, Integrability and Quantization2018Project Euclid 摘要：In a new approach the graviton is defined as the field particle of spacetime rather than the mediator of gravity. The unification equation is derived and used to predict that for a freely falling body, the energy of incident gravitons is $6.12\times 10^{18}$ GeV. Redshift an...
 作者：Viorel Laurentiu Cartas 来源：[C].Proceedings of the Nineteenth International Conference on Geometry, Integrability and Quantization2018Project Euclid 摘要：The present paper aims to emphasize the geometrical features of the quantum spacetime, considering gravity as an emergent feature similar to the elasticity of the solid state. A small scale structure is needed to explain the emergent gravity and how spacetime atoms are continuous...
 作者：Vladimir I. Pulov , Mariana Ts. Hadzhilazova , Ivaïlo M. Mladenov 来源：[C].Proceedings of the Nineteenth International Conference on Geometry, Integrability and Quantization2018Project Euclid 摘要：We consider a class of linear Weingarten surfaces of revolution whose principal curvatures, meridional $k_{\mu}$ and parallel $k_{\pi}$, satisfy the relation $k_{\mu}=(n+1)k_{\pi}$, $n=0,\,1,\,2,\ldots\, .$ The first two members of this class of surfaces are the sphere $(n=0)$ an...