HARMONICS SURFACES OF GRAPHIC TYPE IN R3
In this research we study harmonic surfaces immersed in R3. We dened Harmonic surfaces of graphic type and showed that a harmonious surface graphic type is minimal if and only if it is part of a plane or a helix. Also, we give a characterization of harmonic surfaces graphic type parameterized by as...
| Main Authors: | , , |
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| Format: | Article |
| Language: | Spanish |
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Universidad Nacional de Trujillo
2016-06-01
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| Series: | Selecciones Matemáticas |
| Subjects: | |
| Online Access: | http://revistas.unitru.edu.pe/index.php/SSMM/article/view/1242/1144 |
| _version_ | 1811204056803180544 |
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| author | Carlos Carrión Riveros Armando Vásquez Corro Sarah O. Barbosa |
| author_facet | Carlos Carrión Riveros Armando Vásquez Corro Sarah O. Barbosa |
| author_sort | Carlos Carrión Riveros |
| collection | DOAJ |
| description | In this research we study harmonic surfaces immersed in R3. We dened Harmonic surfaces of graphic type and showed that a harmonious surface graphic type is minimal if and only if it is part of
a plane or a helix. Also, we give a characterization of harmonic surfaces graphic type parameterized by asymptotic lines and some examples. |
| first_indexed | 2024-04-12T03:05:02Z |
| format | Article |
| id | doaj.art-8b57652ec5be4d189d27ee9bb3575a9f |
| institution | Directory Open Access Journal |
| issn | 2411-1783 |
| language | Spanish |
| last_indexed | 2024-04-12T03:05:02Z |
| publishDate | 2016-06-01 |
| publisher | Universidad Nacional de Trujillo |
| record_format | Article |
| series | Selecciones Matemáticas |
| spelling | doaj.art-8b57652ec5be4d189d27ee9bb3575a9f2022-12-22T03:50:31ZspaUniversidad Nacional de TrujilloSelecciones Matemáticas2411-17832016-06-01311710.17268/sel.mat.2016.01.01HARMONICS SURFACES OF GRAPHIC TYPE IN R3Carlos Carrión Riveros0Armando Vásquez Corro1Sarah O. Barbosa2Departamento de Matemática da Universidade de BrasiliaInstituto de Matemática e Estatística da Universidade Federal de GoiasCentro Universitario Uni-Anhanguera, Goiania, GO, BrazilIn this research we study harmonic surfaces immersed in R3. We dened Harmonic surfaces of graphic type and showed that a harmonious surface graphic type is minimal if and only if it is part of a plane or a helix. Also, we give a characterization of harmonic surfaces graphic type parameterized by asymptotic lines and some examples.http://revistas.unitru.edu.pe/index.php/SSMM/article/view/1242/1144minimal surfacesholomorphic functionshelicoide |
| spellingShingle | Carlos Carrión Riveros Armando Vásquez Corro Sarah O. Barbosa HARMONICS SURFACES OF GRAPHIC TYPE IN R3 Selecciones Matemáticas minimal surfaces holomorphic functions helicoide |
| title | HARMONICS SURFACES OF GRAPHIC TYPE IN R3 |
| title_full | HARMONICS SURFACES OF GRAPHIC TYPE IN R3 |
| title_fullStr | HARMONICS SURFACES OF GRAPHIC TYPE IN R3 |
| title_full_unstemmed | HARMONICS SURFACES OF GRAPHIC TYPE IN R3 |
| title_short | HARMONICS SURFACES OF GRAPHIC TYPE IN R3 |
| title_sort | harmonics surfaces of graphic type in r3 |
| topic | minimal surfaces holomorphic functions helicoide |
| url | http://revistas.unitru.edu.pe/index.php/SSMM/article/view/1242/1144 |
| work_keys_str_mv | AT carloscarrionriveros harmonicssurfacesofgraphictypeinr3 AT armandovasquezcorro harmonicssurfacesofgraphictypeinr3 AT sarahobarbosa harmonicssurfacesofgraphictypeinr3 |