Centroaffine differential geometry and its relations to horizontal submanifolds

dc.contributor.author	Vrancken, Luc
dc.date.accessioned	2021-12-17T10:16:46Z
dc.date.available	2021-12-17T10:16:46Z
dc.date.issued	1999-01-29
dc.description.abstract	We relate centroaffine immersions $f:M^n\to R^{n+1}$ to horizontal immersions $g$ of $M^n$ into $S^{2n+1}_{n+1}(1)$ or $H^{2n+1}_n(-1)$. We also show that $f$ is an equiaffine sphere, i.e. the centroaffine normal is a constant multiple of the Blaschke normal, if and only if $g$ is minimal.	en
dc.identifier.issn	2197-8085
dc.identifier.uri	https://depositonce.tu-berlin.de/handle/11303/15938
dc.identifier.uri	http://dx.doi.org/10.14279/depositonce-14711
dc.language.iso	en	en
dc.rights.uri	http://rightsstatements.org/vocab/InC/1.0/	en
dc.subject.ddc	510 Mathematik	en
dc.subject.other	affine differential geometry	en
dc.title	Centroaffine differential geometry and its relations to horizontal submanifolds	en
dc.type	Research Paper	en
dc.type.version	submittedVersion	en
tub.accessrights.dnb	free	en
tub.affiliation	Fak. 2 Mathematik und Naturwissenschaften::Inst. Mathematik	de
tub.affiliation.faculty	Fak. 2 Mathematik und Naturwissenschaften	de
tub.affiliation.institute	Inst. Mathematik	de
tub.publisher.universityorinstitution	Technische Universität Berlin	en
tub.series.issuenumber	1999, 641	en
tub.series.name	Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin	en
tub.subject.msc2000	53A15 Affine differential geometry	en

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