On Laguerre form and Laguerre isoparametric hypersurfaces
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| 024 | 7 | 0 | |a 10.1007/s10114-015-3573-5 |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s10114-015-3573-5 | ||
| 100 | 1 | |a Fang |D Jian |u Department of Mathematics, Tongji University, 200092, Shanghai, P. R. China |4 aut | |
| 245 | 1 | 0 | |a On Laguerre form and Laguerre isoparametric hypersurfaces |h [Elektronische Daten] |c [Jian Fang] |
| 520 | 3 | |a Let x: M n−1 → ℝ n be an umbilical free hypersurface with non-zero principal curvatures. M is called Laguerre isoparametric if it satisfies two conditions, namely, it has vanishing Laguerre form and has constant Lauerre principal curvatures. In this paper, under the condition of having constant Laguerre principal curvatures, we show that the hypersurface is of vanishing Laguerre form if and only if its Laguerre form is parallel with respect to the Levi-Civita connection of its Laguerre metric. | |
| 540 | |a Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Chinese Mathematical Society and Springer-Verlag Berlin Heidelberg, 2015 | ||
| 690 | 7 | |a Laguerre isoparametric hypersurface |2 nationallicence | |
| 690 | 7 | |a Laguerre second fundamental form |2 nationallicence | |
| 690 | 7 | |a Laguerre metric |2 nationallicence | |
| 690 | 7 | |a Laguerre form |2 nationallicence | |
| 690 | 7 | |a parallel Laguerre form |2 nationallicence | |
| 773 | 0 | |t Acta Mathematica Sinica, English Series |d Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society |g 31/3(2015-03-01), 501-510 |x 1439-8516 |q 31:3<501 |1 2015 |2 31 |o 10114 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s10114-015-3573-5 |q text/html |z Onlinezugriff via DOI |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-springer | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s10114-015-3573-5 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 100 |E 1- |a Fang |D Jian |u Department of Mathematics, Tongji University, 200092, Shanghai, P. R. China |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Acta Mathematica Sinica, English Series |d Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society |g 31/3(2015-03-01), 501-510 |x 1439-8516 |q 31:3<501 |1 2015 |2 31 |o 10114 | ||