Infinitesimal rotary transformation [PDF]
Filomat, 2019 The paper is devoted to further study of a certain type of infinitesimal transformations of twodimensional (pseudo-) Riemannian spaces, which are called rotary.
Lenka Ryparova, Josef Mikes
exaly +3 more sources
Infinitesimal Fourier Transformation for The Space of Functionals [PDF]
Topics in Almost Hermitian Geometry and Related Fields, 2004 The purpose is to formulate a Fourier transformation for the space of functionals, as an infinitesimal meaning. We extend ${\bf R}$ to $ ^{\star}(^{\ast}{\bf R})$ under the base of nonstandard methods for the construction.
T. Nitta, T. Okada
semanticscholar +4 more sources
On infinitesimal holomorphically projective transformations on the tangent bundles with respect to the Sasaki metric; pp. 149–157 [PDF]
Proceedings of the Estonian Academy of Sciences, 2011 The purpose of the present article is to find solutions to a system of partial differential equations that characterize infinitesimal holomorphically projective transformations on the tangent bundle with the Sasaki metric and an adapted almost complex ...
Aydin Gezer
doaj +2 more sources
Infinitesimal propagation equation for decoherence of an OAM entangled biphoton in atmospheric turbulence [PDF]
, 2011 We derive a first order differential equation for the decoherence of an orbital angular momentum entangled biphoton state propagating through a turbulent atmosphere.
Roux, Filippus S.
core +2 more sources
From infinitesimal harmonic transformations to Ricci solitons [PDF]
Mathematica Bohemica, 2013 A Ricci soliton is a Riemannian metric \(g\) on a manifold together with a vector field \(\xi \) that are related in terms of the Lie derivative and the Ricci tensor of the metric by \(-2\text{ Ric}=L_{\xi }g+2\lambda g\) for some constant \(\lambda \); Einstein manifolds are a particular case.
S. Stepanov, I. Tsyganok, Josef Mikeš
semanticscholar +3 more sources
Geometry of conformal η-Ricci solitons and conformal η-Ricci almost solitons on paracontact geometry
Open Mathematics, 2022 We prove that if an η\eta -Einstein para-Kenmotsu manifold admits a conformal η\eta -Ricci soliton then it is Einstein. Next, we proved that a para-Kenmotsu metric as a conformal η\eta -Ricci soliton is Einstein if its potential vector field VV is ...
Li Yanlin +3 more
doaj +2 more sources
Lie symmetry analysis and solitary wave solution of biofilm model Allen-Cahn [PDF]
Scientific ReportsThe investigation presented in this study delves into the analysis of Lie symmetries for the bistable Allen-Cahn (BAC) equation with a quartic potential, specifically applied to the biofilm model.
Muhammad Shakeel +4 more
doaj +2 more sources
On Riemannian manifolds admitting an infinitesimal conformal transformation
Mathematische Zeitschrift, 1970 K. Yano
exaly +2 more sources
Infinitesimal approach to the crystallography of martensitic transformation: application to Ni-Ti
Scripta Materialia, 2000 Yuanchang Liang +2 more
exaly +2 more sources
Infinitesimal Time Reparametrisation and Its Applications [PDF]
Journal of Nonlinear Mathematical Physics, 2022 A geometric approach to Sundman infinitesimal time-reparametrisation is given and some of its applications are used to illustrate the general theory. Special emphasis is put on geodesic motions and systems described by mechanical type Lagrangians.
J. Cariñena +2 more
semanticscholar +1 more source