Results 21 to 30 of about 188 (52)

The space of non-degenerate closed curves in a Riemannian manifold [PDF]

, 2012
Let LM be the semigroup of non-degenerate based loops with a fixed initial/final frame in a Riemannian manifold M of dimension at least three. We compare the topology of LM to that of the loop space Omega FTM on the bundle of frames in the tangent bundle
Mostovoy, Jacob, Sadykov, Rustam
core  

Experimental DML over digital repositories in Japan [PDF]

, 2009
In this paper the authors show an overview of Virtual Digital Mathematics Library in Japan (DML-JP), contents of which consist of metadata harvested from institutional repositories in Japan and digital repositories in the world.
Kuroda, Hiraku, Namiki, Takao, Naruse, Shunsuke   +2 more
core   +2 more sources

On the stability of the $p$-affine isoperimetric inequality

, 2013
Employing the affine normal flow, we prove a stability version of the $p$-affine isoperimetric inequality for $p\geq1$ in $\mathbb{R}^2$ in the class of origin-symmetric convex bodies.
Ivaki, Mohammad N.
core   +1 more source

Centro-affine normal flows on curves: Harnack estimates and Ancient solutions

, 2014
We prove that the only compact, origin-symmetric, strictly convex ancient solutions of the planar $p$ centro-affine normal flows are contracting origin-centered ellipses.Comment: I changed the title and fixed some typos.
Ivaki, Mohammad N.
core   +1 more source

Sweeping Surfaces of Polynomial Curves in Euclidean 3-space

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
In this study, we investigate the surfaces created by the movement of the profile curves through the regular polynomial spine curves. To overcome the restrictions of establishing a frame of the polynomial curves at the points where the second and higher ...
Zhu Yuting, Li Yanlin, Eren Kemal, Ersoy Soley   +3 more
doaj   +1 more source

Centro-affine curvature flows on centrally symmetric convex curves [PDF]

, 2012
We consider two types of $p$-centro affine flows on smooth, centrally symmetric, closed convex planar curves, $p$-contracting, respectively, $p$-expanding. Here $p$ is an arbitrary real number greater than 1. We show that, under any $p$-contracting flow,
Ivaki, Mohammad N.
core  

Curves in Banach spaces which allow a $C^2$ parametrization

, 2008
We give a complete characterization of those $f: [0,1] \to X$ (where $X$ is a Banach space which admits an equivalent Fr\'echet smooth norm) which allow an equivalent $C^2$ parametrization. For $X=\R$, a characterization is well-known.
Duda, Jakub, Zajicek, Ludek
core   +1 more source

Self-contracted curves have finite length

, 2017
A curve $\theta$: $I\to E$ in a metric space $E$ equipped with the distance $d$, where $I\subset \R$ is a (possibly unbounded) interval, is called self-contracted, if for any triple of instances of time $\{t_i\}_{i=1}^3\subset I$ with $t_1\leq t_2\leq ...
Stepanov, Eugene, Teplitskaya, Yana
core   +1 more source

Characterizing Level-set Families of Harmonic Functions

, 2019
Families of hypersurfaces that are level-set families of harmonic functions free of critical points are characterized by a local differential-geometric condition.
Ding, Pisheng
core  

Total torsion of three-dimensional lines of curvature. [PDF]

Geom Dedic, 2023
Raffaelli M.
europepmc   +1 more source