A note on the Almansi property
Montaldo, S.;Ratto, A.
2017-01-01
Abstract
The first goal of this note is to study the Almansi property on an m-dimensional model in the sense of Greene and Wu and, more generally, in a Riemannian geometric setting. In particular, we shall prove that the only model on which the Almansi property is verified is the Euclidean space Rm. In the second part of the paper we shall study Almansi’s property and biharmonicity for functions which depend on the distance from a given submanifold. Finally, in the last section we provide an extension to the semi-Euclidean case Rp , q which includes the proof of the classical Almansi property in Rm as a special instance.File | Size | Format | |
---|---|---|---|
Almansi-models-dopo-referee.pdf Solo gestori archivio
Type: versione post-print
Size 270.1 kB
Format Adobe PDF
|
270.1 kB | Adobe PDF | & nbsp; View / Open Request a copy |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.