H-Recurrent surfaces in Euclidean space Em

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dc.contributor.authorArslan, Kadri
dc.contributor.authorMurathan, Cengizhan
dc.contributor.authorÖzturk, Günay
dc.contributor.authorTürkay, Selen
dc.date.accessioned2018-05-08T07:28:53Z
dc.date.available2018-05-08T07:28:53Z
dc.date.issued2011
dc.descriptionURL: http://sjam.selcuk.edu.tr/sjam/article/view/302en_US
dc.description.abstractThe object of the paper is to study some smooth surfaces M whose mean curvature vector H satisfies the H-recurrent condition D_{X}H=?(X)H in m-dimensional Euclidean space E^{m}, where X is a tangent vector field of M and ? is a 1-form. First of all,we prove that the surfaces which satisfy the H-recurrent condition in E^{m} are R^{?}-parallel (i.e., R^{?}H=0). Then, we show that H-parallel surfaces in E? are either totally umbilical or normally flat.en_US
dc.identifier.citationArslan, K., Murathan, C., Özturk, G., Türkay, S. (2011). H-Recurrent surfaces in Euclidean space Em. Selcuk Journal of Applied Mathematics, 12 (2), 35-41.en_US
dc.identifier.endpage41
dc.identifier.issn1302-7980en_US
dc.identifier.startpage35
dc.identifier.urihttps://hdl.handle.net/20.500.12395/10572
dc.identifier.volume12
dc.language.isoenen_US
dc.publisherSelcuk University Research Center of Applied Mathematicsen_US
dc.relation.ispartofSelcuk Journal of Applied Mathematicsen_US
dc.relation.publicationcategoryMakale - Kategori Belirleneceken_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.selcuk20240510_oaigen_US
dc.subjectMean curvature vectoren_US
dc.subjectH-parallel surfacesen_US
dc.subjectOrtalama eğrilik vektören_US
dc.subjectH-paralel yüzeyleren_US
dc.titleH-Recurrent surfaces in Euclidean space Emen_US
dc.typeArticleen_US

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