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Advances in Geometry

Managing Editor: Grundhöfer, Theo / Joswig, Michael

Editorial Board Member: Bannai, Eiichi / Coskun, Izzet / Duzaar, Frank / Eberlein, Patrick / Gentili, Graziano / Henk, Martin / Kantor, William M. / Korchmaros, Gabor / Kreuzer, Alexander / Lagarias, Jeffrey C. / Leistner, Thomas / Löwen, Rainer / Ono, Kaoru / Pasini, Antonio / Ratcliffe, John G. / Scharlau, Rudolf / Scheiderer, Claus / Van Maldeghem, Hendrik / Weintraub, Steven H. / Weiss, Richard

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IMPACT FACTOR 2016: 0.552

CiteScore 2016: 0.61

SCImago Journal Rank (SJR) 2016: 0.564
Source Normalized Impact per Paper (SNIP) 2016: 1.021

Mathematical Citation Quotient (MCQ) 2016: 0.45

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1615-7168
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Volume 16, Issue 2 (Apr 2016)

Issues

Generalized distance-squared mappings of the plane into the plane

S. Ichiki / T. Nishimura
  • Research Group of Mathematical Sciences, Research Institute of Environment and Information Sciences, Yokohama National University, Yokohama 240-8501, Japan
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/ R. Oset Sinha
  • Corresponding author
  • Dept. Geometria i Topologia, Universitat de València C/ Dr. Moliner, 50,46100 Burjassot, València, Spain
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/ M. A. S. Ruas
Published Online: 2016-04-16 | DOI: https://doi.org/10.1515/advgeom-2015-0044

Abstract

We define generalized distance-squared mappings, and we concentrate on the plane to plane case. We classify generalized distance-squared mappings of the plane into the plane in a recognizable way.

Keywords: Generalized distance-squared mapping; stable mapping; A-equivalence; fold singularity; cusp singularity; D4 singularity

About the article

Received: 2014-04-11

Revised: 2014-08-09

Published Online: 2016-04-16

Published in Print: 2016-04-01


Citation Information: Advances in Geometry, ISSN (Online) 1615-7168, ISSN (Print) 1615-715X, DOI: https://doi.org/10.1515/advgeom-2015-0044.

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Citing Articles

Here you can find all Crossref-listed publications in which this article is cited. If you would like to receive automatic email messages as soon as this article is cited in other publications, simply activate the “Citation Alert” on the top of this page.

[1]
Erica Boizan BATISTA, Huhe HAN, and Takashi NISHIMURA
Kyushu Journal of Mathematics, 2017, Volume 71, Number 1, Page 187
[2]
M. Farnik and Z. Jelonek
Linear Algebra and its Applications, 2017, Volume 529, Page 441

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