Some results and characterizations for Mannheim offsets of the ruled surfaces

Some results and characterizations for Mannheim offsets of the ruled surfaces

In this study, we give the dual characterizations of Mannheim offsets of ruled surfaces in terms of their integral invariants and obtain a new characterization of the Mannheim offsets of developable surface, i.e., we show that the striction lines of developable Mannheim offset surfaces are Mannheim...

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Bibliographic Details
Main Authors: Mehmet Önder, H. Hüseyin Uğurlu
Format: Article
Language:English
Published: Sociedade Brasileira de Matemática 2016-01-01
Series:Boletim da Sociedade Paranaense de Matemática
Subjects:
Ruled surface
Mannheim offset
E. Study Mapping
integral invariants
Online Access:http://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/24756
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spelling doaj-56e102be0adb4abeb3ec06cdc80806702020-11-24T23:37:45ZengSociedade Brasileira de MatemáticaBoletim da Sociedade Paranaense de Matemática0037-87122175-11882016-01-01341859810.5269/bspm.v34i1.2475611929Some results and characterizations for Mannheim offsets of the ruled surfacesMehmet Önder0H. Hüseyin UğurluCelal Bayar UniversityIn this study, we give the dual characterizations of Mannheim offsets of ruled surfaces in terms of their integral invariants and obtain a new characterization of the Mannheim offsets of developable surface, i.e., we show that the striction lines of developable Mannheim offset surfaces are Mannheim partner curves. Furthermore, we obtain the relationships between the area of projections of spherical images for Mannheim offsets of ruled surfaces and their integral invariants.http://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/24756Ruled surfaceMannheim offsetE. Study Mappingintegral invariants
collection DOAJ
language English
format Article
sources DOAJ
author Mehmet Önder
H. Hüseyin Uğurlu
spellingShingle Mehmet Önder
H. Hüseyin Uğurlu
Some results and characterizations for Mannheim offsets of the ruled surfaces
Boletim da Sociedade Paranaense de Matemática
Ruled surface
Mannheim offset
E. Study Mapping
integral invariants
author_facet Mehmet Önder
H. Hüseyin Uğurlu
author_sort Mehmet Önder
title Some results and characterizations for Mannheim offsets of the ruled surfaces
title_short Some results and characterizations for Mannheim offsets of the ruled surfaces
title_full Some results and characterizations for Mannheim offsets of the ruled surfaces
title_fullStr Some results and characterizations for Mannheim offsets of the ruled surfaces
title_full_unstemmed Some results and characterizations for Mannheim offsets of the ruled surfaces
title_sort some results and characterizations for mannheim offsets of the ruled surfaces
publisher Sociedade Brasileira de Matemática
series Boletim da Sociedade Paranaense de Matemática
issn 0037-8712
2175-1188
publishDate 2016-01-01
description In this study, we give the dual characterizations of Mannheim offsets of ruled surfaces in terms of their integral invariants and obtain a new characterization of the Mannheim offsets of developable surface, i.e., we show that the striction lines of developable Mannheim offset surfaces are Mannheim partner curves. Furthermore, we obtain the relationships between the area of projections of spherical images for Mannheim offsets of ruled surfaces and their integral invariants.
topic Ruled surface
Mannheim offset
E. Study Mapping
integral invariants
url http://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/24756
work_keys_str_mv AT mehmetonder someresultsandcharacterizationsformannheimoffsetsoftheruledsurfaces
AT hhuseyinugurlu someresultsandcharacterizationsformannheimoffsetsoftheruledsurfaces
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