Advances in Mathematical Physics

Geometry of Warped Product Manifolds: Theory and Applications


Publishing date
01 Jan 2022
Status
Closed
Submission deadline
03 Sep 2021

Lead Editor

1University of Tabuk, Tabuk, Saudi Arabia

2King Khalid University, Abha, Saudi Arabia

3University of Burdwan, Burdwan, India

This issue is now closed for submissions.
More articles will be published in the near future.

Geometry of Warped Product Manifolds: Theory and Applications

This issue is now closed for submissions.
More articles will be published in the near future.

Description

Because the Riemannian product of manifolds cannot have negative curvature, the concept of warped product manifolds arose. On the grounds that warped product manifolds have a number of applications in physics and the theory of relativity, this has been a topic of extensive research.

Warped products provide the basic solutions of Einstein field equations. In addition, the Schwarzschild space time is an example of warped product manifolds. The theory of warped product submanifolds represents an important field in differential geometry and it has several applications. The Ricci curvature of these submanifolds is more significant in the theory of relativity and physics. The gradient Ricci solitons are extensively studied in relativity theory, physics, and differential geometry.

This Special Issue aims to collate original research and review articles related to the study of warped product manifolds and their applications.

Potential topics include but are not limited to the following:

  • Warped product manifolds
  • Ricci curvature, Ricci solitons
  • Geometry of submanifolds and its applications
  • Tensor analysis
  • Submersions from almost Hermitian and almost contact metric manifolds
  • Physical cosmology
  • Geodesic and harmonic maps
  • Conformal geometry

Articles

  • Special Issue
  • - Volume 2021
  • - Article ID 2485804
  • - Research Article

Imperfect Fluid Generalized Robertson Walker Spacetime Admitting Ricci-Yamabe Metric

Ali H. Alkhaldi | Mohd Danish Siddiqi | ... | Lamia Saeed Alqahtani
  • Special Issue
  • - Volume 2021
  • - Article ID 5900801
  • - Research Article

Geometric Mechanics on Warped Product Semi-Slant Submanifold of Generalized Complex Space Forms

Yanlin Li | Ali H. Alkhaldi | Akram Ali
  • Special Issue
  • - Volume 2021
  • - Article ID 8575443
  • - Research Article

Characteristic Properties of Type-2 Smarandache Ruled Surfaces According to the Type-2 Bishop Frame in

Ibrahim Al-Dayel | E. M. Solouma
  • Special Issue
  • - Volume 2021
  • - Article ID 3221643
  • - Research Article

Chen-Ricci Inequalities with a Quarter Symmetric Connection in Generalized Space Forms

Ali H. Al-Khaldi | Mohd. Aquib | ... | Meraj Ali Khan
  • Special Issue
  • - Volume 2021
  • - Article ID 5065333
  • - Research Article

A Study of Doubly Warped Product Immersions in a Nearly Trans-Sasakian Manifold with Slant Factor

Ali H. Alkhaldi | Aliya Naaz Siddiqui | ... | Akram Ali
  • Special Issue
  • - Volume 2021
  • - Article ID 6260639
  • - Research Article

Characterization of Lagrangian Submanifolds by Geometric Inequalities in Complex Space Forms

Lamia Saeed Alqahtani
  • Special Issue
  • - Volume 2021
  • - Article ID 4907963
  • - Research Article

Rigidity of Complete Gradient Shrinkers with Pointwise Pinching Riemannian Curvature

Yawei Chu | Dehe Li | Jundong Zhou
  • Special Issue
  • - Volume 2021
  • - Article ID 5777554
  • - Research Article

A General Inequality for CR-Warped Products in Generalized Sasakian Space Form and Its Applications

Yanlin Li | Akram Ali | Rifaqat Ali
  • Special Issue
  • - Volume 2021
  • - Article ID 7042949
  • - Research Article

Study of Differential Equations on Warped Product Semi-Invariant Submanifolds of the Generalized Sasakian Space Forms

Ibrahim Al-Dayel
  • Special Issue
  • - Volume 2021
  • - Article ID 2835393
  • - Research Article

UV Index for Public Health Awareness Based on OMI/NASA Satellite Data at King Abdulaziz University, Saudi Arabia

Abdullah Addas | Mahmoud Ragab | ... | Eman F. El-Nobi
Advances in Mathematical Physics
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Acceptance rate40%
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CiteScore1.500
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Article of the Year Award: Outstanding research contributions of 2021, as selected by our Chief Editors. Read the winning articles.