Results 61 to 70 of about 126 (113)

Classification and Existence of f-Biharmonic Hypersurfaces in Nonpositively Curved Conformally Flat Spaces

Axioms
We first study the f-biharmonicity of totally umbilical hypersurfaces in a Riemannian manifold of dimension n≥3 and prove that any totally umbilical proper f-biharmonic hypersurface without boundaries in a nonpositively curved manifold must be noncompact.
Ze-Ping Wang, Li-Hua Qin, Xue-Yi Chen
doaj   +1 more source

Classification of totally umbilical submanifolds in symmetric spaces [PDF]

Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics, 1980
AbstractA submanifold of a Riemannian manifold is called a totally umbilical submanifold if the second fundamental form is proportional to the first fundamental form. In this paper, we shall prove that there is no totally umbilical submanifold of codimension less than rank M — 1 in any irreducible symmetric space M.
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Pinching Results on Totally Real Submanifolds of a Locally Conformal Kähler Manifolds

Mathematics
This paper investigates the relationship between pseudo-umbilical and minimal totally real submanifolds in locally conformal Kähler space forms. Some rigidity theorems and an integral inequality are obtained using the moving-frame method and the DDVV ...
Noura M. Alhouiti, Ali H. Alkhaldi, Akram Ali, Piscoran Laurian-Ioan   +3 more
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Totally umbilical submanifolds of quaternion-space-forms [PDF]

Journal of the Australian Mathematical Society, 1978
AbstractTotally umbilical submanifolds of dimension greater than four in quaternion-space-forms are completely classified.
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Study of bi-f-harmonic curve along immersions

Miskolc Mathematical Notes
In this paper, we characterize the bi-f-harmonic curve on surfaces and then we study the submanifold of a Riemannian manifold using the bi-f-harmonic curve.
Buddhadev Pal, Mahendra Kumar, Santosh Kumar   +2 more
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Geometric Inequalities for Skew CR-Warped Product Submanifolds in Locally Conformal Almost Cosymplectic Manifolds

Mathematics
In this paper, we investigate contact skew CR-warped product submanifolds of locally conformal almost cosymplectic manifolds, a framework that simultaneously generalizes warped product pseudo-slant, semi-slant, and contact CR-submanifolds.
Ali H. Alkhaldi, Fatemah Mofarreh, Huda M. Alshanbari, Akram Ali   +3 more
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Analyzing the Ricci Tensor for Slant Submanifolds in Locally Metallic Product Space Forms with a Semi-Symmetric Metric Connection

Axioms
This article explores the Ricci tensor of slant submanifolds within locally metallic product space forms equipped with a semi-symmetric metric connection (SSMC).
Yanlin Li, Md Aquib, Meraj Ali Khan, Ibrahim Al-Dayel, Khalid Masood   +4 more
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Analysis of Screen Generic Lightlike Submanifolds in an Indefinite Kaehler Statistical Manifold Endowed with a Quarter-Symmetric Non-Metric Connection

Axioms
This paper introduces the notion of screen generic lightlike submanifolds (SGLSs) of an indefinite Kaehler statistical manifold equipped with a quarter-symmetric non-metric (QSNM) connection, supported by suitable illustrations.
Vandana Gupta, Jasleen Kaur, Oğuzhan Bahadır, Meraj Ali Khan   +3 more
doaj   +1 more source

On totally umbilic submanifolds of semi-Riemannian manifolds

Nonlinear Analysis: Theory, Methods & Applications, 2005
The notion of being totally umbilic is considered for non-degenerate and degenerate submanifolds of semi-Riemanian manifolds. After some remarks on the general case, timelike and lightlike totally umbilic submanifolds of Lorentzian manifolds are discussed, along with their physical interpretation in view of general relativity.
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A classification of totally F-umbilical submanifolds of an S-manifold

, 2016
In this note a classification theorem for totally f-umbilical submanifolds of an S-space form is obtained.
Cabrerizo Jaraíz, José Luis, Fernández Fernández, Luis Manuel, Fernández Andrés, Manuel   +2 more
openaire   +3 more sources