5,666 research outputs found
On a type of exponential functional equation and its superstability in the sense of Ger
In this paper, we deal with a type exponential functional equation as follows
where and are two real valued functions on a
commutative semigroup. Our aim of this paper is to proved that the above
functional equation in the sense of Ger is superstable
Finsler Metrics with Bounded Cartan Torsions
The norm of Cartan torsion plays an important role for studying of immersion
theory in Finsler geometry. Indeed, Finsler manifold with unbounded Cartan
torsion can not be isometrically imbedded into any Minkowski space. In this
paper, we find two subclasses of (?, ?)-metrics which have bounded Cartan
torsion. Then, we give two subclasses of (?, ?)-metrics whose bound on the
Cartan torsions are independent of the norm of ?
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