Interpolation of Banach spaces, differential geometry and differential equations (Q753100)

The author continues the development of the interpolation method he introduced in joint work with \textit{R. Coifman} [Interpolation of Banach spaces, Perron processes and Yang-Mills, to appear in Am. J. Math.] and its connections with differential geometry and partial differential equations. The paper presents a number of new interesting interactions between interpolation theory, differential geometry and partial differential equations. In particular, the role of interpolation constructions on the differential structure of N(V) \((=\) space of all the norms on a given finite dimensional vector space V) is investigated. For the details I must refer to this interesting article.