Results 1 to 10 of about 553 (38)

Evolution of the first eigenvalue of the Laplace operator and the p-Laplace operator under a forced mean curvature flow

open access: yesOpen Mathematics, 2020
In this paper, we discuss the monotonicity of the first nonzero eigenvalue of the Laplace operator and the p-Laplace operator under a forced mean curvature flow (MCF).
Qi Xuesen, Liu Ximin
doaj   +1 more source

Are There Any Natural Physical Interpretations for Some Elementary Inequalities?

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2022
We inquire whether there are some fundamental interpretations of elementary inequalities in terms of curvature of a three-dimensional smooth hypersurface in the four-dimensional real ambient space.
Bosko Wladimir G., Suceavă Bogdan D.
doaj   +1 more source

Elastic Sturmian spirals in the Lorentz-Minkowski plane

open access: yesOpen Mathematics, 2016
In this paper we consider some elastic spacelike and timelike curves in the Lorentz-Minkowski plane and obtain the respective vectorial equations of their position vectors in explicit analytical form.
Uçum Ali   +2 more
doaj   +1 more source

Curves in the Lorentz-Minkowski plane with curvature depending on their position

open access: yesOpen Mathematics, 2020
Motivated by the classical Euler elastic curves, David A. Singer posed in 1999 the problem of determining a plane curve whose curvature is given in terms of its position. We propound the same question in the Lorentz-Minkowski plane, focusing on spacelike
Castro Ildefonso   +2 more
doaj   +1 more source

Kähler metrics via Lorentzian Geometry in dimension four

open access: yesComplex Manifolds, 2019
Given a semi-Riemannian 4-manifold (M, g) with two distinguished vector fields satisfying properties determined by their shear, twist and various Lie bracket relations, a family of Kähler metrics gK is constructed, defined on an open set in M, which ...
Aazami Amir Babak, Maschler Gideon
doaj   +1 more source

Survey on real forms of the complex A2(2)-Toda equation and surface theory

open access: yesComplex Manifolds, 2019
The classical result of describing harmonic maps from surfaces into symmetric spaces of reductive Lie groups [9] states that the Maurer-Cartan form with an additional parameter, the so-called loop parameter, is integrable for all values of the loop ...
Dorfmeister Josef F.   +3 more
doaj   +1 more source

Curves in the Lorentz-Minkowski plane: elasticae, catenaries and grim-reapers

open access: yesOpen Mathematics, 2018
This article is motivated by a problem posed by David A. Singer in 1999 and by the classical Euler elastic curves. We study spacelike and timelike curves in the Lorentz-Minkowski plane 𝕃2 whose curvature is expressed in terms of the Lorentzian ...
Castro Ildefonso   +2 more
doaj   +1 more source

On a non flat Riemannian warped product manifold with respect to quarter-symmetric connection

open access: yesActa Universitatis Sapientiae: Mathematica, 2019
In this paper, we study generalized quasi-Einstein warped products with respect to quarter symmetric connection for dimension n ≥ 3 and Ricci-symmetric generalized quasi-Einstein manifold with quarter symmetric connection.
Pal Buddhadev, Dey Santu, Pahan Sampa
doaj   +1 more source

On some classes of mixed-super quasi-Einstein manifolds

open access: yesActa Universitatis Sapientiae: Mathematica, 2016
Quasi-Einstein manifold and generalized quasi-Einstein manifold are the generalizations of Einstein manifold. The purpose of this paper is to study the mixed super quasi-Einstein manifold which is also the generalizations of Einstein manifold satisfying ...
Dey Santu   +2 more
doaj   +1 more source

Two dimensional kinematic surfaces with constant scalar curvature in Lorentz-Minkowski 7-space

open access: yesNonlinear Engineering, 2017
In this paper we analyzed the problem of studying locally the scalar curvature S of the two dimensional kinematic surfaces obtained by the homothetic motion of a helix in Lorentz-Minkowski space E17 $\text{E}^7_1$ .
Solouma E. M., Wageeda M. M.
doaj   +1 more source

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