H-hypersurfaces with three distinct principal curvatures in the Euclidean spaces

Nurettin Cenk Turgay

doi:10.1007/s10231-014-0445-z

H-hypersurfaces with three distinct principal curvatures in the Euclidean spaces

Nurettin Cenk Turgay^*

^*Bu çalışma için yazışmadan sorumlu yazar

Matematik Bölümü

Araştırma çıktısı: Dergi yayını › Makale › Hakem

29 Atıf (Scopus)

Özet

In this paper, we study hypersurfaces of Euclidean spaces with arbitrary dimension. First, we obtain some results on $$\text{ H }$$H-hypersurfaces. Then, we give the complete classification of $$\text{ H }$$H-hypersurfaces with three distinct curvatures. We also give some explicit examples.

Orijinal dil	İngilizce
Sayfa (başlangıç-bitiş)	1795-1807
Sayfa sayısı	13
Dergi	Annali di Matematica Pura ed Applicata
Hacim	194
Basın numarası	6
DOI'lar	https://doi.org/10.1007/s10231-014-0445-z
Yayın durumu	Yayınlandı - 1 Ara 2015

Bibliyografik not

Publisher Copyright:
© 2014, Fondazione Annali di Matematica Pura ed Applicata and Springer-Verlag Berlin Heidelberg.

Finansman

The author is supported by Scientific Research Agency of Istanbul Technical University (Project Number: 6489). The author also would like to express his gratitude to the referee for his/her helpful comments that help to improve the quality of the manuscript.

Finansörler	Finansör numarası
Istanbul Teknik Üniversitesi	6489

Belgeye Erişim

10.1007/s10231-014-0445-z

Diğer Dosyalar ve Linkler

Link to publication in Scopus

Alıntı Yap

@article{5ecfa80f96284ee0a356b55f4c149105,

title = "H-hypersurfaces with three distinct principal curvatures in the Euclidean spaces",

abstract = "In this paper, we study hypersurfaces of Euclidean spaces with arbitrary dimension. First, we obtain some results on \$\$\textbackslash{}text\{ H \}\$\$H-hypersurfaces. Then, we give the complete classification of \$\$\textbackslash{}text\{ H \}\$\$H-hypersurfaces with three distinct curvatures. We also give some explicit examples.",

keywords = "Biconservative maps, Biharmonic submanifolds, Null 2-type submanifolds",

author = "Turgay, \{Nurettin Cenk\}",

note = "Publisher Copyright: {\textcopyright} 2014, Fondazione Annali di Matematica Pura ed Applicata and Springer-Verlag Berlin Heidelberg.",

year = "2015",

month = dec,

day = "1",

doi = "10.1007/s10231-014-0445-z",

language = "English",

volume = "194",

pages = "1795--1807",

journal = "Annali di Matematica Pura ed Applicata",

issn = "0373-3114",

publisher = "Springer Nature",

number = "6",

}

TY - JOUR

T1 - H-hypersurfaces with three distinct principal curvatures in the Euclidean spaces

AU - Turgay, Nurettin Cenk

PY - 2015/12/1

Y1 - 2015/12/1

N2 - In this paper, we study hypersurfaces of Euclidean spaces with arbitrary dimension. First, we obtain some results on $$\text{ H }$$H-hypersurfaces. Then, we give the complete classification of $$\text{ H }$$H-hypersurfaces with three distinct curvatures. We also give some explicit examples.

AB - In this paper, we study hypersurfaces of Euclidean spaces with arbitrary dimension. First, we obtain some results on $$\text{ H }$$H-hypersurfaces. Then, we give the complete classification of $$\text{ H }$$H-hypersurfaces with three distinct curvatures. We also give some explicit examples.

KW - Biconservative maps

KW - Biharmonic submanifolds

KW - Null 2-type submanifolds

UR - https://www.scopus.com/pages/publications/84923859963

U2 - 10.1007/s10231-014-0445-z

DO - 10.1007/s10231-014-0445-z

M3 - Article

AN - SCOPUS:84923859963

SN - 0373-3114

VL - 194

SP - 1795

EP - 1807

JO - Annali di Matematica Pura ed Applicata

JF - Annali di Matematica Pura ed Applicata

IS - 6

ER -

H-hypersurfaces with three distinct principal curvatures in the Euclidean spaces

Özet

Bibliyografik not

Finansman

Belgeye Erişim

Diğer Dosyalar ve Linkler

Parmak izi

Alıntı Yap