Search engine for discovering works of Art, research articles, and books related to Art and Culture
Javascript must be enabled to continue!
REMARKS ON LIPSCHITZ GEOMETRY OF GLOBALLY CONIC SINGULAR MANIFOLDS
View through CrossRef
We study metric properties of manifolds with conic singularities and present a natural interplay between metrically conic and metrically asymptotically conic behavior. As a consequence, we prove that a singular sub-manifold is Lipschitz normally embedded (i.e., its inner and outer metric structures are equivalent) in an ambient singular manifold whenever the singularities are conic and the ends of the manifold are asymptotically conic, which answers positively a question of Costa et al. (2024c).
Dalat University
Title: REMARKS ON LIPSCHITZ GEOMETRY OF GLOBALLY CONIC SINGULAR MANIFOLDS
Description:
We study metric properties of manifolds with conic singularities and present a natural interplay between metrically conic and metrically asymptotically conic behavior.
As a consequence, we prove that a singular sub-manifold is Lipschitz normally embedded (i.
e.
, its inner and outer metric structures are equivalent) in an ambient singular manifold whenever the singularities are conic and the ends of the manifold are asymptotically conic, which answers positively a question of Costa et al.
(2024c).
Related Results
Riemannian Curvature of a Sliced Contact Metric Manifold
Riemannian Curvature of a Sliced Contact Metric Manifold
Contact geometry become a more important issue in the mathematical world with the works which had done in the 19th century. Many mathematicians have made studies on contact manifol...
LVM manifolds and lck metrics
LVM manifolds and lck metrics
Abstract
In this paper, we compare two type of complex non-Kähler manifolds : LVM and lck manifolds. First, lck manifolds (for locally conformally Kähler manifolds) admit a...
From Conic to Cylindrical Map Projections
From Conic to Cylindrical Map Projections
In books and textbooks on map projections, cylindrical, conic and azimuthal projections are usually considered separately. It is sometimes mentioned that cylindrical and azimuthal ...
The research of $({\rm{G}}, {\rm{w}})$-Chaos and G-Lipschitz shadowing property
The research of $({\rm{G}}, {\rm{w}})$-Chaos and G-Lipschitz shadowing property
<abstract>
<p>In this paper, we introduce the concepts of $ (G, w) - $ Chaos and $ G - $ Lipschitz shadowing property. We study the dynamical properties of $ (G, w) - ...
Projeto Terapêutico Singular: ferramenta de superação do GAP terapêutico em saúde mental
Projeto Terapêutico Singular: ferramenta de superação do GAP terapêutico em saúde mental
Objetivo: Relatar a experiência acadêmico-assistencial de estudantes de Enfermagem durante a construção conjunta de um projeto terapêutico singular com as equipes de atenção à saúd...
Shared Actuator Manifold - An Innovative Conception to MInimize Costs
Shared Actuator Manifold - An Innovative Conception to MInimize Costs
Abstract
Subsea Manifold has been used as a very attractive alternative in the development of subsea fields. The discover of giant fields in deep waters and the c...
Curve Based Approximation of Measures on Manifolds by Discrepancy Minimization
Curve Based Approximation of Measures on Manifolds by Discrepancy Minimization
AbstractThe approximation of probability measures on compact metric spaces and in particular on Riemannian manifolds by atomic or empirical ones is a classical task in approximatio...
Lipschitz Continuity and Approximate Equilibria
Lipschitz Continuity and Approximate Equilibria
AbstractIn this paper, we study games with continuous action spaces and non-linear payoff functions. Our key insight is that Lipschitz continuity of the payoff function allows us t...