Distance-squared mappings

被引：12

作者：

Ichiki, Shunsuke ^{[1
]}

Nishimura, Takashi ^{[2
]}

机构：

[1] Yokohama Natl Univ, Grad Sch Environm & Informat Sci, Yokohama, Kanagawa 2408501, Japan

[2] Yokohama Natl Univ, Res Inst Environm & Informat Sci, Res Grp Math Sci, Yokohama, Kanagawa 2408501, Japan

来源：

TOPOLOGY AND ITS APPLICATIONS | 2013年 / 160卷 / 08期

关键词：

Distance-squared mapping; Distance mapping; Singularity; Embedding; Immersion; Normal crossings; GENERIC PROJECTIONS;

D O I：

10.1016/j.topol.2013.03.011

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A distance-squared function is one of the most significant functions in the application of singularity theory to differential geometry. In this paper, we define naturally extended mappings of distance-squared functions, wherein each component is a distance-squared function. We investigate the properties of these mappings from the viewpoint of differential topology. (C) 2013 Elsevier B.V. All rights reserved.

引用

页码：1005 / 1016

页数：12

共 50 条

[1] Recognizable classification of Lorentzian distance-squared mappings
Ichiki, Shunsuke
Nishimura, Takashi
[J]. JOURNAL OF GEOMETRY AND PHYSICS, 2014, 81 : 62 - 71
[2] Generic distance-squared mappings on plane curves
Ichiki, Shunsuke
[J]. HIROSHIMA MATHEMATICAL JOURNAL, 2021, 51 (01) : 65 - 76
[3] Generalized distance-squared mappings of the plane into the plane
Ichiki, S.
Nishimura, T.
Sinha, R. Oset
Ruas, M. A. S.
[J]. ADVANCES IN GEOMETRY, 2016, 16 (02) : 189 - 198
[4] Generalized distance-squared mappings of Rn+1 into R2n+1
Ichiki, S.
Nishimura, T.
[J]. REAL AND COMPLEX SINGULARITIES, 2016, 675 : 121 - 132
[5] ON CERTAIN LINEAR MAPPINGS BETWEEN INNER-PRODUCT AND SQUARED-DISTANCE MATRICES
CRITCHLEY, F
[J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 1988, 105 : 91 - 107
[6] The limits of squared Euclidean distance regularization
Derezinski, Michal
Warmuth, Manfred K.
[J]. ADVANCES IN NEURAL INFORMATION PROCESSING SYSTEMS 27 (NIPS 2014), 2014, 27
[7] Squared distance matrix of a weighted tree
Bapat, Ravindra B.
[J]. ELECTRONIC JOURNAL OF GRAPH THEORY AND APPLICATIONS, 2019, 7 (02) : 301 - 313
[8] Orthogonal squared distance fitting with parabolas
Spath, H
[J]. NUMERICAL METHODS AND ERROR BOUNDS, 1996, 89 : 261 - 269
[9] PRODUCT DISTANCE MATRIX OF A GRAPH AND SQUARED DISTANCE MATRIX OF A TREE
Bapat, R. B.
Sivasubramanian, S.
[J]. APPLICABLE ANALYSIS AND DISCRETE MATHEMATICS, 2013, 7 (02) : 285 - 301
[10] Squared distance matrix of a tree: Inverse and inertia
Bapat, R. B.
Sivasubramanian, Sivaramakrishnan
[J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 2016, 491 : 328 - 342

← 1 2 3 4 5 →