Results 41 to 50 of about 13,980,497 (126)

Isometric immersions into three‐dimensional unimodular metric Lie groups

open access: yesJournal of the London Mathematical Society, Volume 114, Issue 3, September 2026.
Abstract We study isometric immersions of surfaces into simply connected three‐dimensional unimodular Lie groups endowed with either Riemannian or Lorentzian left‐invariant metrics, assuming that Milnor's operator is diagonalizable in the Lorentzian case.
Ildefonso Castro   +2 more
wiley   +1 more source

LP-Kenmotsu Manifolds Admitting Bach Almost Solitons

open access: yesUniversal Journal of Mathematics and Applications
For a Lorentzian para-Kenmotsu manifold of dimension $m$ (briefly, ${(LPK)_{m}}$) admitting Bach almost soliton $(g,\zeta,\lambda)$, we explored the characteristics of the norm of Ricci operator. Besides, we gave the necessary condition for ${(LPK)_{m}}
Mohd Bilal   +4 more
doaj   +1 more source

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

open access: yesJournal 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   +2 more
wiley   +1 more source

Geometric solitons in a $D$-homothetically deformed Kenmotsu manifold [PDF]

open access: yes, 2021
We consider almost Riemann and almost Ricci solitons in a $D$-homothetically deformed Kenmotsu manifold having as potential vector field a gradient vector field, a solenoidal vector field or the Reeb vector field of the deformed structure, and explicitly
Blaga, Adara M.
core   +1 more source

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

open access: yesJournal 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   +4 more
wiley   +1 more source

On generalized pseudo-projective curvature tensor of para-Kenmotsu manifolds

open access: yesBulletin of the Transilvania University of Brasov Series III Mathematics and Computer Science, 2021
The object of the present paper is to generalize pseudo-projective curva-ture tensor of para-Kenmotsu manifold with the help of a new generalized(0,2) symmetric tensorZintroduced by Mantica and Suh. Various geo-metric properties of generalized pseudo-projective curvature tensor of para-Kenmotsu manifold have been studied. It is shown that a generalized
Goyal, A.   +3 more
openaire   +3 more sources

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

open access: yesJournal 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   +3 more
wiley   +1 more source

Invariant Submanifolds of a Lorentzian β-Kenmotsu Manifold

open access: yesAmesia
In this paper we have investigated invariant submanifolds of Lorentzian β-Kenmotsu manifolds and obtained the necessary and sufficient conditions for total geodesic submanifolds of Lorentzian β-Kenmotsu manifolds.
Tuğba Mert, Mehmet Atçeken
doaj   +1 more source

Geometric Characterizations of Riemann Solitons

open access: yesJournal of Mathematics, Volume 2026, Issue 1, 2026.
In this paper, we find the geometric characterizations of Riemann solitons within the background of co‐Kähler manifolds admitting semisymmetric metric ζ‐connection. Let (g, V) be a Riemann soliton on a co‐Kähler manifold M admitting a semisymmetric metric ζ‐connection.
Abdul Haseeb   +4 more
wiley   +1 more source

Para kenmotsu manifoldun Skew Semi invaryant altmanifoldları

open access: yes, 2018
In this paper skew semi invariant submanifolds of para Kenmotsu manifold are studied. An example is given and integrability conditions of distributions are obtained.
Aksoy Sarı, Elif   +2 more
core   +1 more source

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