Geometric topology of CR-warped products in six-dimensional sphere

Noura Alhouiti; Fatemah Mofarreh; Fatemah Abdullah Alghamdi; Akram Ali; Piscoran Ioan Laurian

doi:10.3934/math.20241224

Geometric topology of CR-warped products in six-dimensional sphere

Noura Alhouiti
, Fatemah Mofarreh
, Fatemah Abdullah Alghamdi
, Akram Ali^*
, Piscoran Ioan Laurian

^*Corresponding author for this work

Administrative Sciences Department

University of Tabuk
Princess Nourah Bint Abdulrahman University
King Khalid University
Technical University of Cluj-Napoca

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper, we prove that a three-dimensional CR-warped product submanifold of a nearly Kaehler six-dimensional sphere, under some restrictions, contains finite fundamental groups. Using another approach from the theory of eigenvalues and also the gradient of Ricci curvature, we obtain similar results.

Original language	English
Pages (from-to)	25114-25126
Number of pages	13
Journal	AIMS Mathematics
Volume	9
Issue number	9
DOIs	https://doi.org/10.3934/math.20241224
State	Published - 2024

Keywords

CR-warped products
fundamental groups
nearly Kaehler manifold

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10.3934/math.20241224

Cite this

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title = "Geometric topology of CR-warped products in six-dimensional sphere",

abstract = "In this paper, we prove that a three-dimensional CR-warped product submanifold of a nearly Kaehler six-dimensional sphere, under some restrictions, contains finite fundamental groups. Using another approach from the theory of eigenvalues and also the gradient of Ricci curvature, we obtain similar results.",

keywords = "CR-warped products, fundamental groups, nearly Kaehler manifold",

author = "Noura Alhouiti and Fatemah Mofarreh and Alghamdi, \{Fatemah Abdullah\} and Akram Ali and Laurian, \{Piscoran Ioan\}",

note = "Publisher Copyright: {\textcopyright} 2024 the Author(s).",

year = "2024",

doi = "10.3934/math.20241224",

language = "English",

volume = "9",

pages = "25114--25126",

journal = "AIMS Mathematics",

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T1 - Geometric topology of CR-warped products in six-dimensional sphere

AU - Alhouiti, Noura

AU - Mofarreh, Fatemah

AU - Alghamdi, Fatemah Abdullah

AU - Ali, Akram

AU - Laurian, Piscoran Ioan

PY - 2024

Y1 - 2024

N2 - In this paper, we prove that a three-dimensional CR-warped product submanifold of a nearly Kaehler six-dimensional sphere, under some restrictions, contains finite fundamental groups. Using another approach from the theory of eigenvalues and also the gradient of Ricci curvature, we obtain similar results.

AB - In this paper, we prove that a three-dimensional CR-warped product submanifold of a nearly Kaehler six-dimensional sphere, under some restrictions, contains finite fundamental groups. Using another approach from the theory of eigenvalues and also the gradient of Ricci curvature, we obtain similar results.

KW - CR-warped products

KW - fundamental groups

KW - nearly Kaehler manifold

UR - https://www.scopus.com/pages/publications/85202540957

U2 - 10.3934/math.20241224

DO - 10.3934/math.20241224

M3 - Article

AN - SCOPUS:85202540957

SN - 2473-6988

VL - 9

SP - 25114

EP - 25126

JO - AIMS Mathematics

JF - AIMS Mathematics

IS - 9

ER -

Geometric topology of CR-warped products in six-dimensional sphere

Abstract

Keywords

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