CL-Transformation on 3-Dimensional Quasi Sasakian Manifolds and Their Ricci Soliton [PDF]
MathematicsThis paper explores the geometry of 3-dimensional quasi Sasakian manifolds under CL-transformations. We construct both infinitesimal and CL-transformation and demonstrate that the former does not necessarily yield projective killing vector fields.
Rajesh Kumar +2 more
doaj +2 more sources
Geometry of almost contact metrics as a ∗-conformal Ricci–Yamabe solitons and related results [PDF]
, 2023 The goal of this paper is to study certain types of metric such as a ∗-conformal Ricci-Yamabe soliton (RYS), whose potential vector field is torse-forming on Kenmotsu manifold.
Fatma Karaca +5 more
core +1 more source
Digital transformation and critical didactics: challenges and barriers in teaching infinitesimal calculus [PDF]
, 2021 GráficasEste capítulo analizó el desarrollo de habilidades del pensamiento matemático avanzado a partir de los esquemas conceptuales asociados al proceso de enseñanza del cálculo diferencial mediado por el uso de las trasformaciones digitales en ...
Mateus-Nieves, Enrique +2 more
core +1 more source
On derivative-dependent infinitesimal deformations of differentiable maps [PDF]
, 1980 We study, by means of flows in jet bundles, infinitesimal deformations of germs of b∞ maps ƒ:Rn→Rm that depend on a finite number of derivatives of these maps.
Otterson, Paul, Svetlichny, George
core +1 more source
H-contact semi-Riemannian manifolds [PDF]
, 2013 We characterize H-contact semi-Riemannian manifolds (i.e., contact semi-Riemannian manifolds whose Reeb vector field ξ is harmonic) by the condition that ξ is a Ricci eigenvector. We then investigate how H-contact semi-Riemannian manifolds are related to
CALVARUSO, Giovanni, PERRONE, Domenico
core +1 more source
Ricci solitons on 3-dimensional cosymplectic manifolds [PDF]
, 2017 In this paper, we prove that if a 3-dimensional cosymplectic manifold M 3 admits a Ricci soliton, then either M 3 is locally flat or the potential vector field is an infinitesimal contact transformation.
Yaning Wang
core +1 more source
Complete Riemannian manifolds admitting a pair of Einstein-Weyl structures [PDF]
, 2016 summary:We prove that a connected Riemannian manifold admitting a pair of non-trivial Einstein-Weyl structures $(g, \pm \omega )$ with constant scalar curvature is either Einstein, or the dual field of $\omega $ is Killing.
Ghosh, Amalendu
core +1 more source
Local formulas for multiplicative forms [PDF]
, 2019 We provide explicit formulas for integrating multiplicative forms on local Lie groupoids in terms of infinitesimal data. Combined with our previous work [8], which constructs the local Lie groupoid of a Lie algebroid, these formulas produce concrete ...
Marcut, Ioan +2 more
core +2 more sources
Similarity analysis of differential equations by Lie group [PDF]
, 1971 Methods for transforming partial differential equations into forms more suitable for analysis and solution are investigated. The idea of Lie's infinitesimal contact transformation group is introduced to develop a systematic method which involves mostly ...
Hansen, Arthur G., Na, Tsung-Yen
core +1 more source
Validity of a Wearable Digital Insole for Assessing Gait ON and OFF in Parkinson's Disease
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective Gait impairment is a distinctive symptom of Parkinson's disease that negatively impact mobility. We assessed the validity of wearable digital insoles against a validated reference gait analysis system for measuring select gait characteristics in patients with Parkinson's disease. Methods A comparative analysis between digital insoles
Deborah A. Hall +16 more
wiley +1 more source