Sufficient Criteria for Obtaining Hardy Inequalities on Finsler Manifolds

On Stretch curvature of Finsler manifolds

In this paper, Finsler metrics with relatively non-negative (resp. non-positive), isotropic and constant stretch curvature are studied.  In particular, it is showed that every compact Finsler manifold with relatively non-positive (resp. non-negative) stretch curvature is a Landsberg metric. Also, it is proved that every  (α,β)-metric of non-zero constant flag curvature and non-zero relatively i...

Sufficient Inequalities for Univalent Functions

In this work, applying Lemma due to Nunokawa et. al. cite{NCKS}, we obtain some sufficient inequalities for some certain subclasses of univalent functions.

Perturbative Oscillation Criteria and Hardy-type Inequalities

We prove a natural generalization of Kneser's oscillation criterion and Hardy's inequality for Sturm{Liouville diierential expressions. In particular, assuming ? d dx p 0 (x) d dx + q 0 (x), x 2 (a; b), ?1 a < b 1 to be nonoscillatory near a (or b), we determine conditions on q(x) such that ? d dx p 0 (x) d dx + q 0 (x) + q(x) is nonoscillatory, respectively, oscillatory near a (or b).

On concircularly recurrent Finsler manifolds

Two special Finsler spaces have been introduced and investigated, namely R-recurrent Finsler space and concircularly recurrent Finsler space. The defining properties of these spaces are formulated in terms of the first curvature tensor of Cartan connection. The following three results constitute the main object of the present paper: (i) a concircularly flat Finsler manifold is necessarily of co...

Stable Exponentially Harmonic Maps Between Finsler Manifolds