A Bernstein property of affine maximal hypersurfaces
| dc.contributor.author | Li, An-Min | |
| dc.contributor.author | Fang, Jia | |
| dc.date.accessioned | 2021-12-17T10:05:20Z | |
| dc.date.available | 2021-12-17T10:05:20Z | |
| dc.date.issued | 2002-01-30 | |
| dc.description.abstract | Let $x:M^n\to A^{n+1}$ be the graph of some strictly convex function $x_{n+1} = f(x_1,\cdots,x_n)$ defined in a convex domain $|Omega\subset A^n$. We introduce a Riemannian metric $G^\# = \sum\frac{\partial^2 f}{\partial x_i \partial x_j}dx_idx_j$ on $M$. In this paper we investigate the affine maximal hypersurface which is complete with respect to the metric $G^\#$, and prove a Bernstein property for the affine maximal hypersurfaces. | en |
| dc.identifier.issn | 2197-8085 | |
| dc.identifier.uri | https://depositonce.tu-berlin.de/handle/11303/15473 | |
| dc.identifier.uri | http://dx.doi.org/10.14279/depositonce-14246 | |
| 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 | Bernstein property | en |
| dc.subject.other | affine maximal hypersurface | en |
| dc.title | A Bernstein property of affine maximal hypersurfaces | 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 | 2002, 727 | 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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