Convex Hull of Extreme Points in Flat Riemannian Manifolds

被引：0

作者：

Mirzaie, Reza ^{[1
]}

Rezaie, Omid ^{[1
]}

机构：

[1] Imam Khomeini Int Univ IKIU, Fac Sci, Dept Pure Math, Qazvin, Iran

来源：

INTERNATIONAL ELECTRONIC JOURNAL OF GEOMETRY | 2022年 / 15卷 / 02期

关键词：

Flat Reimannian manifold; convex subset; convex hull; extreme point; SETS;

D O I：

10.36890/IEJG.1046707

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that convex hull of extreme points of a closed strongly convex subset of a compact flat Riemannian manifold is equal to the subset itself.

引用

页码：178 / 182

页数：5

共 50 条

[21] On the Convex Hull of the Integer Points in a Bi-circular Region
Brimkov, Valentin E.
COMBINATORIAL IMAGE ANALYSIS, PROCEEDINGS, 2009, 5852 : 16 - 29
[22] Limit theorems for the convex hull of random points in higher dimensions
Hueter, I
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1999, 351 (11) : 4337 - 4363
[23] Matrix convex sets without absolute extreme points
Evert, Eric
LINEAR ALGEBRA AND ITS APPLICATIONS, 2018, 537 : 287 - 301
[24] CARDINALITY OF SOME CONVEX SETS AND OF THEIR SETS OF EXTREME POINTS
Lipecki, Zbigniew
COLLOQUIUM MATHEMATICUM, 2011, 123 (01) : 133 - 147
[25] Neurocomputing model for computation of an approximate convex hull of a set of points and spheres
Pal, Srimanta
Bhattacharya, Sabyasachi
IEEE TRANSACTIONS ON NEURAL NETWORKS, 2007, 18 (02): : 600 - 605
[26] Convex hull of points lying on lines in o(n log n) time after preprocessing
Ezra, Esther
Mulzer, Wolfgang
COMPUTATIONAL GEOMETRY-THEORY AND APPLICATIONS, 2013, 46 (04): : 417 - 434
[27] Convex hull properties and algorithms
Zhang, Xianquan
Tang, Zhenjun
Yu, Jinhui
Guo, Mingming
Jiang, Lianyuan
APPLIED MATHEMATICS AND COMPUTATION, 2010, 216 (11) : 3209 - 3218
[28] An optimal real time algorithm for determine the convex hull of a set of points in a plane
Wang, ZQ
Xiao, LJ
COMPUTERS & INDUSTRIAL ENGINEERING, 1998, 35 (1-2) : 331 - 334
[29] Method of orienting curves for determining the convex hull of a finite set of points in the plane
Phan Thanh An
OPTIMIZATION, 2010, 59 (02) : 175 - 179
[30] Classes of analytic functions subordinate to convex functions and extreme points
Hallenbeck, DJ
Hallenbeck, KT
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2003, 282 (02) : 792 - 800

← 1 2 3 4 5 →