Universität zu Köln

Mendes, Ricardo A. E. and Radeschi, Marco (2019). A SLICE THEOREM FOR SINGULAR RIEMANNIAN FOLIATIONS, WITH APPLICATIONS. Trans. Am. Math. Soc., 371 (7). S. 4931 - 4950. PROVIDENCE: AMER MATHEMATICAL SOC. ISSN 1088-6850

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Abstract

We prove a slice theorem around closed leaves in a singular Riemannian foliation, and we use it to study the C-infinity-algebra of smooth basic functions, generalizing to the inhomogeneous setting a number of results by G. Schwarz. In particular, in the infinitesimal case we show that this algebra is generated by a finite number of polynomials.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Mendes, Ricardo A. E. UNSPECIFIED UNSPECIFIED UNSPECIFIED Radeschi, Marco UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-152318
DOI:	10.1090/tran/7502
Journal or Publication Title:	Trans. Am. Math. Soc.
Volume:	371
Number:	7
Page Range:	S. 4931 - 4950
Date:	2019
Publisher:	AMER MATHEMATICAL SOC
Place of Publication:	PROVIDENCE
ISSN:	1088-6850
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language CLIFFORD ALGEBRAS; COMPACT; INVARIANT; ORBITS Multiple languages Mathematics Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/15231