General Rotational Surfaces in Pseudo-Euclidean 4-Space with Neutral Metric

Yana Aleksieva; Velichka Milousheva; Nurettin Cenk Turgay

doi:10.1007/s40840-016-0425-0

General Rotational Surfaces in Pseudo-Euclidean 4-Space with Neutral Metric

Yana Aleksieva
, Velichka Milousheva^*
, Nurettin Cenk Turgay

^*Bu çalışma için yazışmadan sorumlu yazar

Matematik Bölümü

Araştırma sonucu: Dergiye katkı › Makale › bilirkişi

2 Atıf (Scopus)

Özet

We define general rotational surfaces of elliptic and hyperbolic type in the pseudo-Euclidean 4-space with neutral metric which are analogous to the general rotational surfaces of C. Moore in the Euclidean 4-space. We study Lorentz general rotational surfaces with plane meridian curves and give the complete classification of minimal general rotational surfaces of elliptic and hyperbolic type, general rotational surfaces with parallel normalized mean curvature vector field, flat general rotational surfaces, and general rotational surfaces with flat normal connection.

Orijinal dil	İngilizce
Sayfa (başlangıç-bitiş)	1773-1793
Sayfa sayısı	21
Dergi	Bulletin of the Malaysian Mathematical Sciences Society
Hacim	41
Basın numarası	4
DOI'lar	https://doi.org/10.1007/s40840-016-0425-0
Yayın durumu	Yayınlandı - 1 Eki 2018

Bibliyografik not

Publisher Copyright:
© 2016, Malaysian Mathematical Sciences Society and Penerbit Universiti Sains Malaysia.

Finansman

Acknowledgements The first author was partially supported by Contract 195/2016 with the Sofia University “St. Kl. Ohridski.” The second author was partially supported by the Bulgarian National Science Fund, Ministry of Education and Science of Bulgaria under contract DFNI-I 02/14. The third author was supported by TÜB˙TAK (Project Name: Y_EUCL2TIP, Project Number: 114F199). This work was done during the third author’s visit at the Institute of Mathematics and Informatics, Bulgarian Academy of Sciences in June 2015. The first author was partially supported by Contract 195/2016 with the Sofia University “St. Kl. Ohridski.” The second author was partially supported by the Bulgarian National Science Fund, Ministry of Education and Science of Bulgaria under contract DFNI-I 02/14. The third author was supported by TÜBİTAK (Project Name: Y_EUCL2TIP, Project Number: 114F199). This work was done during the third author’s visit at the Institute of Mathematics and Informatics, Bulgarian Academy of Sciences in June 2015.

Finansörler	Finansör numarası
TÜB˙TAK
Sofia University
Bulgarian National Science Fund
Türkiye Bilimsel ve Teknolojik Araştirma Kurumu	114F199
Ministry of Education and Science	DFNI-I 02/14

Belgeye Erişim

10.1007/s40840-016-0425-0

Diğer Dosyalar ve Linkler

Link to publication in Scopus

Alıntı Yap

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title = "General Rotational Surfaces in Pseudo-Euclidean 4-Space with Neutral Metric",

abstract = "We define general rotational surfaces of elliptic and hyperbolic type in the pseudo-Euclidean 4-space with neutral metric which are analogous to the general rotational surfaces of C. Moore in the Euclidean 4-space. We study Lorentz general rotational surfaces with plane meridian curves and give the complete classification of minimal general rotational surfaces of elliptic and hyperbolic type, general rotational surfaces with parallel normalized mean curvature vector field, flat general rotational surfaces, and general rotational surfaces with flat normal connection.",

keywords = "General rotational surfaces, Lorentz surfaces, Minimal surfaces, Parallel mean curvature vector, Pseudo-Euclidean space",

author = "Yana Aleksieva and Velichka Milousheva and Turgay, \{Nurettin Cenk\}",

note = "Publisher Copyright: {\textcopyright} 2016, Malaysian Mathematical Sciences Society and Penerbit Universiti Sains Malaysia.",

year = "2018",

month = oct,

day = "1",

doi = "10.1007/s40840-016-0425-0",

language = "English",

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AU - Milousheva, Velichka

AU - Turgay, Nurettin Cenk

PY - 2018/10/1

Y1 - 2018/10/1

N2 - We define general rotational surfaces of elliptic and hyperbolic type in the pseudo-Euclidean 4-space with neutral metric which are analogous to the general rotational surfaces of C. Moore in the Euclidean 4-space. We study Lorentz general rotational surfaces with plane meridian curves and give the complete classification of minimal general rotational surfaces of elliptic and hyperbolic type, general rotational surfaces with parallel normalized mean curvature vector field, flat general rotational surfaces, and general rotational surfaces with flat normal connection.

AB - We define general rotational surfaces of elliptic and hyperbolic type in the pseudo-Euclidean 4-space with neutral metric which are analogous to the general rotational surfaces of C. Moore in the Euclidean 4-space. We study Lorentz general rotational surfaces with plane meridian curves and give the complete classification of minimal general rotational surfaces of elliptic and hyperbolic type, general rotational surfaces with parallel normalized mean curvature vector field, flat general rotational surfaces, and general rotational surfaces with flat normal connection.

KW - General rotational surfaces

KW - Lorentz surfaces

KW - Minimal surfaces

KW - Parallel mean curvature vector

KW - Pseudo-Euclidean space

UR - https://www.scopus.com/pages/publications/85053329555

U2 - 10.1007/s40840-016-0425-0

DO - 10.1007/s40840-016-0425-0

M3 - Article

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EP - 1793

JO - Bulletin of the Malaysian Mathematical Sciences Society

JF - Bulletin of the Malaysian Mathematical Sciences Society

IS - 4

ER -

General Rotational Surfaces in Pseudo-Euclidean 4-Space with Neutral Metric

Özet

Bibliyografik not

Finansman

Belgeye Erişim

Diğer Dosyalar ve Linkler

Parmak izi

Alıntı Yap