Results 61 to 70 of about 157 (140)

Toral symmetries of collapsed ancient solutions to the homogeneous Ricci flow

Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.
Abstract Collapsed ancient solutions to the homogeneous Ricci flow on compact manifolds occur only on the total space of principal torus bundles. Under an algebraic assumption that guarantees flowing through diagonal metrics and a tameness assumption on the collapsing directions, we prove that such solutions have additional symmetries, that is, they ...
Anusha M. Krishnan, Francesco Pediconi, Sammy Sbiti   +2 more
wiley   +1 more source

Generalized Z‐Solitons on LP‐Sasakian Manifolds With the General Connection

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This work focuses on LP‐Sasakian manifolds endowed with generalized Z‐solitons constructed with respect to an arbitrary affine connection. To conclude, we provide an explicit and nontrivial example in the four‐dimensional case, thereby establishing the realization of such solitons on LP‐Sasakian manifolds.
Shahroud Azami, Mehdi Jafari, Francisco J. Garcia-Pacheco   +2 more
wiley   +1 more source

k-Almost Newton-Conformal Ricci Solitons on Hypersurfaces Within Golden Riemannian Manifolds with Constant Golden Sectional Curvature

Axioms
The current work establishes the geometrical bearing for hypersurfaces in a Golden Riemannian manifold with constant golden sectional curvature with respect to k-almost Newton-conformal Ricci solitons.
Amit Kumar Rai, Majid Ali Choudhary, Mohd. Danish Siddiqi, Ghodratallah Fasihi-Ramandi, Uday Chand De, Ion Mihai   +5 more
doaj   +1 more source

Geometric Analysis of η‐Ricci Bourguignon Solitons on Para‐Sasakian Manifolds With Semisymmetric Nonmetric Connection (SSNMC) on the Tangent Bundle

Journal of Mathematics, Volume 2026, Issue 1, 2026.
In this paper, we investigate the geometric properties of η‐Ricci–Bourguignon (η‐RB) solitons on para‐Sasakian manifolds equipped with a semisymmetric nonmetric connection (SSNMC). By employing the complete lift on the tangent bundle, we derive curvature relations, Ricci identities, Ricci flow, and the corresponding η‐RB soliton equations for the ...
Lalnunenga Colney, Dalal Alhwikem, Teg Alam, Anowar Hussain Sadiyal, Smritijit Sen   +4 more
wiley   +1 more source

Curvature and Solitonic Structures of Para‐Sasakian Manifolds With Schouten–van Kampen Connection on the Tangent Bundle

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This paper investigates the complete lift of para‐Sasakian structures to the tangent bundle equipped with the Schouten–van Kampen connection (SVKC). By analyzing curvature tensors and soliton equations, we establish the existence of Ricci, Yamabe, and η‐Ricci solitons in the lifted setting.
Lalnunenga Colney, Dalal Alhwikem, Teg Alam, Murat Altunbaş   +3 more
wiley   +1 more source

Study of η‐Ricci–Yamabe Solitons and Ricci–Yamabe Solitonss in a Lorentzian Nearly Kähler Space‐Time Manifold

Journal of Mathematics, Volume 2026, Issue 1, 2026.
An η‐Ricci–Yamabe solitonss is a notion of both Ricci and Yamabe solitons, defined by a geometric equation involving a tensor field, which has applications in general relativity and cosmology. The objective of the present research is to examine η‐Ricci–Yamabe solitonss and Ricci–Yamabe solitonss on covariant projectively flat and concircularly flat ...
B. B. Chaturvedi, Neha Chauhan, Mohammad Nazrul Islam Khan, Smritijit Sen   +3 more
wiley   +1 more source

Optimization of Soliton Structures Using Lifting Theory on Tangent Bundles of Statistical Kenmotsu Manifolds

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This paper investigates the optimization of soliton structures on tangent bundles of statistical Kenmotsu manifolds through lifting theory. By constructing lifted statistical Kenmotsu structures using semisymmetric metric and nonmetric connections, we derive explicit expressions for the curvature tensor, Ricci operator, and scalar curvature. We analyze
Mohammad Nazrul Islam Khan, Lalnunenga Colney, Teg Alam, Pramita Mishra   +3 more
wiley   +1 more source

Some Curvature Properties on Lorentzian Generalized Sasakian-Space-Forms

Advances in Mathematical Physics, 2019
In this paper, we investigate the Lorentzian generalized Sasakian-space-form. We give the necessary and sufficient conditions for the Lorentzian generalized Sasakian-space-form to be projectively flat, conformally flat, conharmonically flat, and Ricci ...
Rongsheng Ma, Donghe Pei
doaj   +1 more source

A New Class of Contact Pseudo Framed Manifolds with Applications

International Journal of Mathematics and Mathematical Sciences, 2021
In this paper, we introduce a new class of contact pseudo framed (CPF)-manifolds M,g,f,λ,ξ by a real tensor field f of type 1,1, a real function λ such that f3=λ2f where ξ is its characteristic vector field. We prove in our main Theorem 2 that M admits a
K. L. Duggal
doaj   +1 more source

Photoacoustics for Direct Light‐Guiding Inside Transparent and Scattering Media

Laser &Photonics Reviews, Volume 19, Issue 8, April 17, 2025.
A novel method for guiding light in transparent and scattering media without external components is presented. A pulsed laser and absorptive material generate photoacoustic pressure waves within the medium, creating refractive index gradients for sub‐microsecond light guiding.
Pietro Ricci, Mateu Colom, Blanca Mestre‐Torà, Martí Duocastella   +3 more
wiley   +1 more source