Cuspidal crosscaps and folded singularities on a maxface and a minface

被引：0

作者：

Bardhan, Rivu ^{[1
]}

Dhochak, Anu ^{[1
]}

Kumar, Pradip ^{[1
]}

机构：

[1] Shiv Nadar Inst Eminence, Dept Math, Dadri 201314, Uttar Pradesh, India

来源：

INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS | 2024年 / 55卷 / 04期

关键词：

Mix-type zmc surface; Zero mean curvature; Maxface; Minface; MAXIMAL SURFACES; MINIMAL-SURFACES; CURVATURE;

D O I：

10.1007/s13226-023-00414-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For a given zero mean curvature surface X (in the Lorentz Minkowski space) having folded singularity, we construct a family of maxface and minface, having increasing cuspidal crosscaps, 'converging' to X. We include a general discussion of this.

引用

页码：1142 / 1149

页数：8

共 23 条

[1] Approximating singularities by a cuspidal-edge on a maxface
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Archiv der Mathematik, 2022, 119 : 101 - 111
[2] Approximating singularities by a cuspidal-edge on a maxface
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ARCHIV DER MATHEMATIK, 2022, 119 (01) : 101 - 111
[3] Swallowtails and cone-like singularities on a maxface
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Proceedings - Mathematical Sciences, 2022, 132
[4] Swallowtails and cone-like singularities on a maxface
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PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 2022, 132 (01):
[5] On the geometry of folded cuspidal edges
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REVISTA MATEMATICA COMPLUTENSE, 2018, 31 (03): : 627 - 650
[6] On the geometry of folded cuspidal edges
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Revista Matemática Complutense, 2018, 31 : 627 - 650
[7] FIBRATIONS WITH MOVING CUSPIDAL SINGULARITIES
TAKEDA, Y
NAGOYA MATHEMATICAL JOURNAL, 1991, 122 : 161 - 179
[8] CUSPIDAL POINTS ON LANDAU SINGULARITIES
WESTWATER, MJ
HELVETICA PHYSICA ACTA, 1967, 40 (04): : 389 - +
[9] BIFURCATIONS OF CUSPIDAL LOOPS PRESERVING NILPOTENT SINGULARITIES
Panazzolo, D.
Roussarie, R.
MOSCOW MATHEMATICAL JOURNAL, 2005, 5 (01) : 207 - 244
[10] Singularities of a geodesic flow on surfaces with a cuspidal edge
Remizov, A. O.
PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS, 2010, 268 (01) : 248 - 257

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