AN EXAMPLE OF ROTATIONAL HYPERSURFACE IN $\mathbb{R}^{n+1}$ WITH INDUCED IP METRIC FROM $\mathbb{R}^{n+1}$

ЗаглавиеAN EXAMPLE OF ROTATIONAL HYPERSURFACE IN $\mathbb{R}^{n+1}$ WITH INDUCED IP METRIC FROM $\mathbb{R}^{n+1}$
Вид публикацияJournal Article
Година на публикуване2005
АвториTsankov Y
СписаниеAnnuaire de l’Université de Sofia “St. Kliment Ohridski”. Faculté de Mathématiques et Informatique
Том97
ключови думиcurvature operator, IP manifolds, rotated hypersurfaces
Резюме

We find a rotated hypersurface Mn whose induced metric from Rn+1 is isometric to metric of IP manifolds and therefore the hypersurface is conformally flat. In the case of 4-dimensional hypersurface with IP metric we have presented explicitly a skew-symmetric curvature operator and have proved directly that its eigenvalues are pointwise. We find the mean curvature of the hypersurface.

2000 MSC

53A05, 53B20

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