Simple Search

Query:

Enter a query and click »Search«...

Format:

Display: entries per page entries

Zbl 0603.46052
Dineen, Seán; Timoney, Richard M.; Vigué, Jean-Pierre
Pseudodistances invariantes sur les domaines d'un espace localement convexe. (Invariant pseudodistances on domains of a locally convex space). (French)
[J] Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 12, 515-529 (1985). ISSN 0391-173X

The authors prove that the Kobayashi and Carathéodory invariant metrics (and infinitesimal metrics) coincide on a convex domain in a locally convex space. Applications include showing the existence of geodesics (in the sense of Vesentini) in convex domains of a reflexive Banach space.

MSC 2000:: *46G20 Infinite dimensional holomorphy
32A07 Special domains in $C^n$

Keywords: Kobayashi and Carathéodory invariant metrics; infinitesimal metrics; convex domain in a locally convex space; existence of geodesics

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Article Article Journal Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Simple Search

Zentralblatt MATH Berlin [Germany]