Results 271 to 280 of about 8,284 (304)

Conformal Killing Forms on Totally Umbilical Submanifolds

Journal of Mathematical Sciences, 2016
For a \(C^{\infty}\)-manifold \(M\) with a pseudo-Riemannian metric \(g\) and Levi-Civita connection \(\nabla\), an \(r\)-form \(\omega\) on \(M\) is called a conformal Killing form if it satisfies the differential equation: \[ \nabla\omega-\frac{1}{r+1}d\omega+g\wedge\theta=0 \] for some \((r-1)\)-form \(\theta\).
Stepanov, S. E., Alexandrova, I. A., Tsyganok, I. I., Mikeš, Josef   +3 more
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Totally umbilical submanifolds inG(2,n). II

Journal of Mathematical Sciences, 1994
A submanifold \(N\) in a Riemannian manifold \(M\) is called totally umbilical if its second fundamental form is proportional to the first fundamental form. In this note, the author continues the study of totally umbilical submanifolds in symmetric spaces. In [the author, Mat. Fiz. Anal. Geom.
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[TULC - total umbilical laparoscopic cholecystectomy].

Zentralblatt fur Chirurgie, 2012
Except for some few cases only symptomatic cholecystolithiasis constitutes an indication for operative treatment. The gold standard meanwhile has been the laparoscopic cholecystectomy, because the method shows good results with short hospital stay. Recently there has been an intensive discussion about combination of laparoscopic techniques with natural
C, Petridis, B, Klein, A, Parzhuber, H G, Rau   +3 more
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Totally umbilical manifolds inG(2,n). I

Journal of Mathematical Sciences, 1994
See the review in Zbl 0763.53058.
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On totally umbilical submanifolds ofS n+p

Israel Journal of Mathematics, 2000
Let \(M\) be an \(n\)-dimensional compact minimal submanifold in \(S^{n+p}\). \textit{A. M. Li} and \textit{J. M. Li} proved a scalar curvature pinching theorem [Arch. Math. 58, 582-594 (1992; Zbl 0767.53042)]. \textit{S.-T. Yau} proved a sectional curvature pinching theorem [Am. J. Math. 97, 76-100 (1975; Zbl 0304.53042)]. \textit{N.
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Totally umbilical CR-submanifolds of nearly K�hler manifolds

Geometriae Dedicata, 1994
A classification theorem for totally umbilical CR-submanifolds of nearly- Kähler manifolds is obtained. The statement and the proof are similar to the corresponding ones in a Kählerian ambient.
Khan, K. A., Khan, V. A., Husain, S. I.
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Submanifolds with totally umbilical Gauss image

Geometriae Dedicata, 1996
The submanifolds whose Gauss images are totally umbilical submanifolds of a Grassmannian manifold are considered. The main result is the following classification theorem: if the Gauss image of a submanifold \(F\) in a Euclidean space is totally umbilical, then either the Gauss image is totally geodesic, or \(F\) is a surface in \(E^n\) of special ...
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On totally umbilical submanifolds of Finsler spaces

Annales Polonici Mathematici, 2011
The authors define totally umbilical submanifolds of Finsler manifolds using the second fundamental form introduced by Q. He and Y. B. Shen. They study totally umbilical submanifolds of Finsler manifolds establishing some simpler equations related to curvatures of Finsler submanifolds and the curvatures of the ambient space.
He, Qun, Yang, Wei, Zhao, Wei
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Single Incision Trans-Umbilical Total Hysterectomy: Robotic or Laparoscopic?

Journal of Minimally Invasive Gynecology, 2014
<b><i>Objective:</i></b> The aim of this study was to compare the early surgical outcomes in patients who underwent total hysterectomy with laparoendoscopic single-site surgery (LESS-TH) versus robotic single-site total hysterectomy (RSS-TH).
Yildirim, Nuri, Akdemir, Ali, Zeybek, Burak, Sendag, Fatih, Karaman, Semra   +4 more
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Totally umbilical lightlike submanifolds

1997
Following work of A. Bejancu and K. L. Duggal as well as his own previous research, the author defines the notion of totally umbilical lightlike submanifolds. He gives some examples of totally umbilical lightlike submanifolds and analyses totally umbilical lightlike submanifolds of Lorentzian manifolds and, in particular, of 4-dimensional Lorentz ...
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