Lorentzian distance on the Lobachevsky plane

被引：0

作者：

Sachkov, Yu L. ^{[1
,2
]}

机构：

[1] Russian Acad Sci, Program Syst Inst, Pereslavl Zalesskii, Russia

[2] RUDN Univ, 6 Miklukho Maklaya St, Moscow 117198, Russia

来源：

NONLINEARITY | 2024年 / 37卷 / 09期

关键词：

Lorentzian geometry; Lorentzian metric; curvature; length maximizers; isometries; geometric control;

D O I：

10.1088/1361-6544/ad67a0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Left-invariant Lorentzian structures on the 2D solvable non-Abelian Lie group are studied. Sectional curvature, attainable sets, Lorentzian length maximizers, distance, spheres, and infinitesimal isometries are described.

引用

页数：35

共 50 条

[41] Lorentzian Distance Classifier for Multiple Features
Kerimbekov, Yerzhan
Bilge, Hasan Sakir
ICPRAM: PROCEEDINGS OF THE 6TH INTERNATIONAL CONFERENCE ON PATTERN RECOGNITION APPLICATIONS AND METHODS, 2017, : 493 - 501
[42] On level sets of Lorentzian distance function
Erkekoglu, F
García-Río, E
Kupeli, DN
GENERAL RELATIVITY AND GRAVITATION, 2003, 35 (09) : 1597 - 1615
[43] Lorentzian distance functions in contact geometry
Hedicke, Jakob
JOURNAL OF TOPOLOGY AND ANALYSIS, 2024, 16 (02) : 205 - 225
[44] Lorentzian Distance Learning for Hyperbolic Representations
Law, Marc T.
Liao, Renjie
Snell, Jake
Zemel, Richard S.
INTERNATIONAL CONFERENCE ON MACHINE LEARNING, VOL 97, 2019, 97
[45] SINGULARITIES, INCOMPLETENESS AND THE LORENTZIAN DISTANCE FUNCTION
BEEM, JK
EHRLICH, PE
MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1979, 85 (JAN) : 161 - 178
[46] HYPERBOLIC ANGLE FUNCTION IN THE LORENTZIAN PLANE
Nesovic, Emilija
KRAGUJEVAC JOURNAL OF MATHEMATICS, 2005, 28 : 139 - 144
[47] Polygons of the Lorentzian plane and spherical simplexes
Fillastre, Francois
ELEMENTE DER MATHEMATIK, 2014, 69 (03) : 144 - 155
[48] Clifford Product and Lorentzian Plane Displacements In 3-Dimensional Lorentzian Space
Halit Gündoğan
Siddika Özkaldi
Advances in Applied Clifford Algebras, 2009, 19 : 43 - 50
[49] Clifford Product and Lorentzian Plane Displacements In 3-Dimensional Lorentzian Space
Gundogan, Halit
Ozkaldi, Siddika
ADVANCES IN APPLIED CLIFFORD ALGEBRAS, 2009, 19 (01) : 43 - 50
[50] An Isoperimetric Problem on the Lobachevsky Plane with a Left-Invariant Finsler Structure
Myrikova, V. A.
PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS, 2023, 321 (01) : 208 - 221

← 1 2 3 4 5 →