ON PROJECTIVELY RELATED WARPED PRODUCT FINSLER MANIFOLDS

2011 ◽  
Vol 08 (05) ◽  
pp. 953-967 ◽  
Author(s):  
M. M. REZAII ◽  
Y. ALIPOUR-FAKHRI
Keyword(s):  
Warped Product ◽  
Sufficient Conditions ◽  
Linear Connection ◽  
Necessary And Sufficient Conditions ◽  
Finsler Manifolds ◽  
Non Linear ◽  
Necessary And Sufficient

Let 𝔽1 = (M1,F1) and 𝔽2 = (M2,F2) be two Finsler manifolds and let M = M1 × M2 and S is a spray in M. Also 𝔽 = (M1 × f M2, F) is a warped product Finsler manifolds, such that the function f : M1 → ℝ+ is not constant. In this paper, we define a non-linear connection on warped product 𝔽, and finally, we have presented some necessary and sufficient conditions under which the spray manifold (M1 × M2, S) is projectively equivalent to the warped product Finsler manifolds (M1 × f M2, F).

scholarly journals Recurrence classification for a family of non-linear storage models

2018 ◽  
Vol 37 (2) ◽  
pp. 337-353
Author(s):  
Peter W. Glynn ◽  
Sanatan Rai ◽  
John E. Glynn
Keyword(s):  
Discrete Time ◽  
Power Law ◽  
Sufficient Conditions ◽  
Necessary And Sufficient Conditions ◽  
Storage Model ◽  
Positive Recurrence ◽  
Non Linear ◽  
Necessary And Sufficient ◽  
Recurrence Classification

RECURRENCE CLASSIFICATION FOR A FAMILY OF NON-LINEAR STORAGE MODELSNecessary and sufficient conditions for positive recurrence of a discrete-time non-linear storage model with power law dynamics arederived. In addition, necessary and sufficient conditions for finiteness of p-th stationary moments are obtained for this class of models.

scholarly journals On Ψ-instability of non-linear matrix Lyapunov systems

2009 ◽  
Vol 42 (4) ◽  
Author(s):  
M. S. N. Murty ◽  
G. S. Kumar ◽  
P. N. Lakshmi ◽  
D. Anjaneyulu
Keyword(s):  
Sufficient Conditions ◽  
Necessary And Sufficient Conditions ◽  
Linear Matrix ◽  
Non Linear ◽  
Necessary And Sufficient

AbstractWe prove necessary and sufficient conditions for Ψ-instability of trivial solutions of linear matrix Lyapunov systems and also sufficient conditions for Ψ-instability of trivial solutions of non-linear matrix Lyapunov systems.

Gradient Ricci-harmonic solitons on multiply warped products

2021 ◽  
pp. 2150140
Author(s):  
Fatma Karaca
Keyword(s):  
Warped Product ◽  
Sufficient Conditions ◽  
Space Time ◽  
Necessary And Sufficient Conditions ◽  
Warped Products ◽  
Necessary And Sufficient

In this paper, we find the necessary and sufficient conditions for a multiply warped product to be a gradient Ricci-harmonic soliton. We also investigate the necessary and sufficient conditions for a multiply generalized Robertson–Walker space-time and a generalized Reissner–Nordström space-time to be a gradient Ricci-harmonic soliton.

Minimum action solutions of non-linear elliptic equations in unbounded domains containing a plane

1986 ◽  
Vol 102 (3-4) ◽  
pp. 327-343 ◽  
Author(s):  
Otared Kavian
Keyword(s):  
Elliptic Equation ◽  
Continuous Function ◽  
Bounded Domain ◽  
Elliptic Equations ◽  
Sufficient Conditions ◽  
Unbounded Domains ◽  
Necessary And Sufficient Conditions ◽  
Smooth Bounded Domain ◽  
Non Linear ◽  
Necessary And Sufficient

SynopsisLet d ≧ 1 be an integer and ω ⊂ℝd a smooth bounded domain and consider the elliptic equation − Δu = g(u) on Ω = ℝ2 × ω. We prove that under (almost) necessary and sufficient conditions on the continuous function g: ℝm→ ℝm the above equation has a minimum-action solution.

A note on F-planar mappings of manifolds with non-symmetric linear connection

2019 ◽  
Vol 16 (05) ◽  
pp. 1950078 ◽  
Author(s):  
Miloš Z. Petrović ◽  
Mića S. Stanković
Keyword(s):  
Sufficient Conditions ◽  
Linear Connection ◽  
Necessary And Sufficient Conditions ◽  
Planar Curve ◽  
Affinor Structure ◽  
Planar Mapping ◽  
Basic Facts ◽  
Necessary And Sufficient

Following the basic facts of [Formula: see text]-planar mappings introduced by Mikeš and Sinyukov and further developed by Hinterleitner and Mikeš, we consider the notions of an [Formula: see text]-planar curve and an [Formula: see text]-planar mapping, but in case of manifolds endowed with a non-symmetric linear connection and an affinor structure. Consequently, we investigate infinitesimal [Formula: see text]-planar and particularly geodesic transformations of manifolds with non-symmetric linear connection and find necessary and sufficient conditions for the existence of these transformations.

scholarly journals On warped product semi-slant submanifolds of nearly Trans-Sasakian manifolds

Filomat ◽  
2018 ◽  
Vol 32 (17) ◽  
pp. 5845-5856
Author(s):  
Akram Ali ◽  
Ali Alkhaldi ◽  
Rifaqat Ali
Keyword(s):  
Warped Product ◽  
Sufficient Conditions ◽  
Characterization Theorem ◽  
Sasakian Manifold ◽  
Necessary And Sufficient Conditions ◽  
Sasakian Manifolds ◽  
Slant Submanifold ◽  
Slant Submanifolds ◽  
Necessary And Sufficient

In this paper, we study warped product semi-slant submanifold of type M = NT xf N? with slant fiber, isometrically immersed in a nearly Trans-Sasakian manifold by finding necessary and sufficient conditions in terms of Weingarten map. A characterization theorem is proved as main result.

scholarly journals Gradient Ricci solitons on multiply warped product manifolds

Filomat ◽  
2018 ◽  
Vol 32 (12) ◽  
pp. 4221-4228
Author(s):  
Fatma Karaca ◽  
Cıhan Özgür
Keyword(s):  
Warped Product ◽  
Sufficient Conditions ◽  
Necessary And Sufficient Conditions ◽  
Ricci Solitons ◽  
Gradient Ricci Solitons ◽  
Necessary And Sufficient

We consider gradient Ricci solitons on multiply warped product manifolds. We find the necessary and sufficient conditions for multiply warped product manifolds to be gradient Ricci solitons.

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