A primer on the differential geometry of quaternionic curves
Sign Up to like & getrecommendations! Published in 2021 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.7709
Abstract: This paper describes the foundations of a differential geometry of a quaternionic curves. The FrenetSerret equations and the evolutes and evolvents of a particular quaternionic curve are accordingly determined. This new formulation takes benefit of… read more here.
Keywords: differential geometry; geometry; quaternionic curves; geometry quaternionic ... See more keywords
Non-Abelian anomalous (super)fluids in thermal equilibrium from differential geometry
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DOI: 10.1007/jhep11(2018)076
Abstract: A bstractWe apply differential geometry methods to the computation of the anomaly-induced hydrodynamic equilibrium partition function. Implementing the imaginary-time prescription on the Chern-Simons effective action on a stationary background, we obtain general closed expressions for… read more here.
Keywords: non abelian; partition function; differential geometry; geometry ... See more keywords
Topics in differential geometry associated with position vector fields on Euclidean submanifolds
Sign Up to like & getrecommendations! Published in 2017 at "Arab Journal of Mathematical Sciences"
DOI: 10.1016/j.ajmsc.2016.08.001
Abstract: Abstract The position vector field is the most elementary and natural geometric object on a Euclidean submanifold. The purpose of this article is to survey six research topics in differential geometry in which the position… read more here.
Keywords: topics differential; geometry; differential geometry; position vector ... See more keywords
Dimensional analysis in relativity and in differential geometry
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DOI: 10.1088/1361-6404/aba90b
Abstract: This note provides a short guide to dimensional analysis in Lorentzian and general relativity and in differential geometry. It tries to revive Dorgelo and Schouten’s notion of ‘intrinsic’ or ‘absolute’ dimension of a tensorial quantity.… read more here.
Keywords: analysis; differential geometry; geometry; relativity differential ... See more keywords
Control-Oriented Models for Hyperelastic Soft Robots Through Differential Geometry of Curves.
Sign Up to like & getrecommendations! Published in 2022 at "Soft robotics"
DOI: 10.1089/soro.2021.0035
Abstract: The motion complexity and use of exotic materials in soft robotics call for accurate and computationally efficient models intended for control. To reduce the gap between material and control-oriented research, we build upon the existing… read more here.
Keywords: robotics; differential geometry; control; geometry ... See more keywords
Geometry of webs of algebraic curves
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DOI: 10.1215/00127094-3715296
Abstract: A family of algebraic curves covering a projective variety $X$ is called a web of curves on $X$ if it has only finitely many members through a general point of $X$. A web of curves… read more here.
Keywords: differential geometry; geometry; algebraic curves; web structure ... See more keywords
Differential geometry approach to asymmetric transmission of light.
Sign Up to like & getrecommendations! Published in 2017 at "Optics express"
DOI: 10.1364/oe.25.026405
Abstract: In the last ten years, the technology of differential geometry, ubiquitous in gravitational physics, has found its place in the field of optics. It has been successfully used in the design of optical metamaterials through… read more here.
Keywords: tensor; optics; differential geometry; geometry ... See more keywords
Some topics in differential geometry of normed spaces
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DOI: 10.1515/advgeom-2020-0001
Abstract: Abstract For a surface immersed in a three-dimensional space endowed with a smooth norm instead of an inner product, one can define analogous concepts of curvature and metric. With such concepts in mind, various questions… read more here.
Keywords: geometry normed; topics differential; normed spaces; differential geometry ... See more keywords
Characterizing the E⊗e Jahn-Teller Potential Energy Surfaces by Differential Geometry Tools
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DOI: 10.3390/sym14030436
Abstract: The term ‘mathematical chemistry’ is mostly associated with applications of graph theory in topological issues of 3D chemical structures, thought of as a collection of atoms as dots and bonds as lines. We propose here… read more here.
Keywords: energy surfaces; differential geometry; chemistry; potential energy ... See more keywords