Biconservative Surfaces in Robertson–Walker Spaces

Nurettin Cenk Turgay; Rüya Yeǧin Şen

doi:10.1007/s00025-025-02395-5

Biconservative Surfaces in Robertson–Walker Spaces

Nurettin Cenk Turgay^*
, Rüya Yeǧin Şen

^*Bu çalışma için yazışmadan sorumlu yazar

Matematik Bölümü

Istanbul Medeniyet University

Araştırma sonucu: Dergiye katkı › Makale › bilirkişi

Özet

In this paper, we mainly focus on space-like PMCV surfaces in Robertson–Walker spaces. First, we derive certain geometrical properties of biconservative surfaces in the Robertson–Walker space L1n(f,c) of arbitrary dimension. Then, we get complete local classifications of PMCV surfaces in L14(f,0), L15(f,0) and L15(1,±1). Finally, we prove that a space-like PMCV biconservative surface in L1n(f,0),n≥6 lies on a totally geodesic submanifold with dimension either 4 or 5.

Orijinal dil	İngilizce
Makale numarası	77
Dergi	Results in Mathematics
Hacim	80
Basın numarası	3
DOI'lar	https://doi.org/10.1007/s00025-025-02395-5
Yayın durumu	Yayınlandı - May 2025

Bibliyografik not

Publisher Copyright:
© The Author(s) 2025.

Belgeye Erişim

10.1007/s00025-025-02395-5

Diğer Dosyalar ve Linkler

Link to publication in Scopus

Alıntı Yap

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title = "Biconservative Surfaces in Robertson–Walker Spaces",

abstract = "In this paper, we mainly focus on space-like PMCV surfaces in Robertson–Walker spaces. First, we derive certain geometrical properties of biconservative surfaces in the Robertson–Walker space L1n(f,c) of arbitrary dimension. Then, we get complete local classifications of PMCV surfaces in L14(f,0), L15(f,0) and L15(1,±1). Finally, we prove that a space-like PMCV biconservative surface in L1n(f,0),n≥6 lies on a totally geodesic submanifold with dimension either 4 or 5.",

keywords = "53A10 (Primary), 53C42, Biharmonic surfaces, Parallel mean curvature vector, Robertson–Walker spacetime",

author = "Turgay, \{Nurettin Cenk\} and \{Yeǧin {\c S}en\}, R{\"u}ya",

note = "Publisher Copyright: {\textcopyright} The Author(s) 2025.",

year = "2025",

month = may,

doi = "10.1007/s00025-025-02395-5",

language = "English",

volume = "80",

journal = "Results in Mathematics",

issn = "1422-6383",

publisher = "Birkhauser Verlag Basel",

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}

TY - JOUR

T1 - Biconservative Surfaces in Robertson–Walker Spaces

AU - Turgay, Nurettin Cenk

AU - Yeǧin Şen, Rüya

N1 - Publisher Copyright: © The Author(s) 2025.

PY - 2025/5

Y1 - 2025/5

N2 - In this paper, we mainly focus on space-like PMCV surfaces in Robertson–Walker spaces. First, we derive certain geometrical properties of biconservative surfaces in the Robertson–Walker space L1n(f,c) of arbitrary dimension. Then, we get complete local classifications of PMCV surfaces in L14(f,0), L15(f,0) and L15(1,±1). Finally, we prove that a space-like PMCV biconservative surface in L1n(f,0),n≥6 lies on a totally geodesic submanifold with dimension either 4 or 5.

AB - In this paper, we mainly focus on space-like PMCV surfaces in Robertson–Walker spaces. First, we derive certain geometrical properties of biconservative surfaces in the Robertson–Walker space L1n(f,c) of arbitrary dimension. Then, we get complete local classifications of PMCV surfaces in L14(f,0), L15(f,0) and L15(1,±1). Finally, we prove that a space-like PMCV biconservative surface in L1n(f,0),n≥6 lies on a totally geodesic submanifold with dimension either 4 or 5.

KW - 53A10 (Primary)

KW - 53C42

KW - Biharmonic surfaces

KW - Parallel mean curvature vector

KW - Robertson–Walker spacetime

UR - https://www.scopus.com/pages/publications/105001345558

U2 - 10.1007/s00025-025-02395-5

DO - 10.1007/s00025-025-02395-5

M3 - Article

AN - SCOPUS:105001345558

SN - 1422-6383

VL - 80

JO - Results in Mathematics

JF - Results in Mathematics

IS - 3

M1 - 77

ER -

Biconservative Surfaces in Robertson–Walker Spaces

Özet

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Belgeye Erişim

Diğer Dosyalar ve Linkler

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