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Pointwise hemi-slant warped product submanifolds in nearly Kaehler manifolds [PDF]

open access: diamondAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
In this paper, we introduce the notion of pointwise hemi-slant sub-manifolds of nearly Kaehler manifolds. Further, we study their warped products and prove the necessary and sufficient condition that a point-wise hemi-slant submanifold to be a warped ...
Alqahtani Lamia Saeed   +2 more
doaj   +2 more sources

On warped product gradient η-Ricci solitons [PDF]

open access: hybridFilomat, 2017
If the potential vector field of an ?-Ricci soliton is of gradient type, using Bochner formula, we derive from the soliton equation a nonlinear second order PDE. In a particular case of irrotational potential vector field we prove that the soliton is completely determined by f .
Adara M. Blaga
  +7 more sources

Homology groups in CR-warped products of complex space forms [PDF]

open access: yesHeliyon
In the present paper, by using the result of Lawson-Simons [15], we adopt a different technique to show that there are no stable integral q-currents and a non-trivial homology group in a compact oriented CR-warped product submanifold Nn in a complex ...
Yanlin Li   +4 more
doaj   +2 more sources

Warped f-product Finsler Metrics

open access: diamondBilecik Şeyh Edebali Üniversitesi Fen Bilimleri Dergisi, 2023
This paper shows the existence of some Ricci-flat warped f-Product Finsler metrics. We investigate the general structure of this newly defined warped f-Product Finsler metrics, indeed we identify the metric form, spray coefficients of geodesics of the metric, and also the Ricci curvature in regards to the α_1 and α_2 Riemanian metrics.
Semail Ülgen
openalex   +3 more sources

On Landsberg Warped Product Metrics [PDF]

open access: yesZurnal matematiceskoj fiziki, analiza, geometrii, 2021
In the present paper the authors discuss the Finsler warped product metrics. They study the Berwald curvature of Finsler warped product metrics. They characterize the Finsler warped product metrics of isotropic Berwald curvature and deduce that they are Randers metrics (Theorem 1.2).
Gabrani, Mehran   +2 more
openaire   +1 more source

Some results on the geometry of warped product CR-submanifolds in quasi-Sasakian manifold

open access: yesCubo, 2022
The present paper deals with a study of warped product submanifolds of quasi-Sasakian manifolds and warped product CR-submanifolds of quasi-Sasakian manifolds.
Shamsur Rahman
doaj   +1 more source

Geometric Inequalities for Warped Products in Riemannian Manifolds

open access: yesMathematics, 2021
Warped products are the most natural and fruitful generalization of Riemannian products. Such products play very important roles in differential geometry and in general relativity.
Bang-Yen Chen, Adara M. Blaga
doaj   +1 more source

Warped product space-times [PDF]

open access: yesClassical and Quantum Gravity, 2017
Many classical results in relativity theory concerning spherically symmetric space-times have easy generalizations to warped product space-times, with a two-dimensional Lorentzian base and arbitrary dimensional Riemannian fibers. We first give a systematic presentation of the main geometric constructions, with emphasis on the Kodama vector field and ...
Xinliang An, Willie Wai Yeung Wong
openaire   +2 more sources

A Geometric Obstruction for CR-Slant Warped Products in a Nearly Cosymplectic Manifold

open access: yesMathematics, 2020
In the early 20th century, B.-Y. Chen introduced the concept of CR-warped products and obtained several fundamental results, such as inequality for the length of second fundamental form. In this paper, we obtain B.-Y.
Siraj Uddin, M. Z. Ullah
doaj   +1 more source

The Lawson-Simons' theorem on warped product submanifolds with geometric information

open access: yesAIMS Mathematics, 2021
The main objective of this paper is to investigate topological properties from the view point of compact warped product submanifolds of a space form with the vanishing constant sectional curvature.
Ali H. Alkhaldi, Akram Ali, Jae Won Lee
doaj   +1 more source

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