A classic result of Swan states that a finite group acts freely on a homotopy sphere if and only if every abelian subgroup of is cyclic. Following this result, Benson and Carlson conjectured that a finite group acts freely on the homotopy product of spheres if the rank of is less than . Recently...

In human body, all the conduits are flexible and also collapsible. That is, when the external pressure exceeds the internal pressure, the channel width can be significantly reduced, if not fully diminished. In this paper, a mathematical model describing the fluid transport of collapsible channel...

Some new reverses of Bessel's inequality for orthonormal families in real or complex inner product spaces are pointed out. Applications for some Grüss type inequalities and for determinantal integral inequalities are given as well

A new counterpart of Bessel's inequality for orthornormal families in real or complex 2-inner product spaces is obtained. Applications for some Grüss type results with applications for determinantal integral inequalities are also provided

In this paper we prove the existence and uniquess of the solution of Enskog equation in the presence of an external force field. From a Weak formulation of the problem, we deduce suitable estimates that yield existence for the solution of the initial value problem.En este artículo probamos...

Some new bounds for the Čebyšev functional of a pair of vectors in inner product spaces are pointed out. Reverses for the celebrated Jensen's inequality for convex functions defined on inner product spaces are given as well

We continue our study of the structure initiated in [Arp03]. Our main emphasis is exploring further structure into the formalism introduced in [Arp03]. This formalism reveals beautiful interplay between certain elementary operators, and provides tools for example for checking, handling and...