Geodesic
Extension of smooth functions in infinite dimensions II: manifolds
C. J. Atkin1
1School of Mathematical and Computing Sciences Victoria University of Wellington P.O. Box 600, Wellington, New Zealand
Studia Mathematica, Tome 150 (2002) no. 3, pp. 215-241

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

Let $M$ be a separable C$^\infty $ Finsler manifold of infinite dimension. Then it is proved, amongst other results, that under suitable conditions of local extensibility the germ of a C$^\infty $ function, or of a C$^\infty $ section of a vector bundle, on the union of a closed submanifold and a closed locally compact set in $M$, extends to a C$^\infty $ function on the whole of $M$.
DOI : 10.4064/sm150-3-2
Keywords: separable infty finsler manifold infinite dimension proved amongst other results under suitable conditions local extensibility germ infty function infty section vector bundle union closed submanifold closed locally compact set extends infty function whole

C. J. Atkin  1

1 School of Mathematical and Computing Sciences Victoria University of Wellington P.O. Box 600, Wellington, New Zealand 
C. J. Atkin. Extension of smooth functions
in infinite dimensions II: manifolds. Studia Mathematica, Tome 150 (2002) no. 3, pp. 215-241. doi: 10.4064/sm150-3-2
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