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Some natural operators on vector fields

Jiří M. Tomáš (1995)

Archivum Mathematicum

We determine all natural operators transforming vector fields on a manifold M to vector fields on T * T 1 2 M , dim M 2 , and all natural operators transforming vector fields on M to functions on T * T T 1 2 M , dim M 3 . We describe some relations between these two kinds of natural operators.

Some remarks on duality in S 3

Ian Porteous (1999)

Banach Center Publications

In this paper we review some of the concepts and results of V. I. Arnol’d [1] for curves in S 2 and extend them to curves and surfaces in S 3 .

Some results on projectively flat affine surfaces

Antonio Martínez, Francisco Milán (2005)

Banach Center Publications

We focus our attention on projectively flat affine surfaces. First, we classify the affine surfaces with projectively flat induced connection and constant Pick invariant. We also investigate the compact case and study how the geometry at the boundary determines the geometry of the surface.

Currently displaying 61 – 80 of 202