Displaying similar documents to “Veronese curves and webs: interpolation.”

Geometry of isotypic Kronecker webs

Wojciech Kryński (2012)

Open Mathematics

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An isotypic Kronecker web is a family of corank m foliations { t } t P 1 such that the curve of annihilators t ↦ (T x F t)⊥ ∈ Grm(T x* M) is a rational normal curve in the Grassmannian Grm(T x*M) at any point x ∈ M. For m = 1 we get Veronese webs introduced by I. Gelfand and I. Zakharevich [Gelfand I.M., Zakharevich I., Webs, Veronese curves, and bi-Hamiltonian systems, J. Funct. Anal., 1991, 99(1), 150–178]. In the present paper, we consider the problem of local classification of isotypic Kronecker...

Interpolation of Banach spaces, differential geometry and differential equations.

Stephen Semmes (1988)

Revista Matemática Iberoamericana

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In recent years the study of interpolation of Banach spaces has seen some unexpected interactions with other fields. (...) In this paper I shall discuss some more interactions of interpolation theory with the rest of mathematics, beginning with some joint work with Coifman [CS]. Our basic idea was to look for the methods of interpolation that had interesting PDE's arising as examples.