Results 111 to 120 of about 84,048 (226)

Holonomy Groups Of Hypersurfaces [PDF]

open access: yesNagoya Mathematical Journal, 1956
The restricted homogeneous holonomy group of an n–dimensional Riemannian manifold is a connected closed subgroup of the proper orthogonal group SO(n) [1]. In this note we shall prove that the restricted homogeneous holonomy group of an n-dimensional compact hypersurface in the Euclidean space is actually the proper orthogonal group SO(n) itself.
openaire   +4 more sources

Ternary Gas Mixture Quantification Using Field Asymmetric Ion Mobility Spectrometry (FAIMS)

open access: yesSensors, 2019
Gas mixture quantification is essential for the recording and reproducing odors, because an odor consists of multiple chemical compounds. Gas mixture quantification using field asymmetric ion mobility spectrometry (FAIMS) was studied.
Yasufumi Yokoshiki, Takamichi Nakamoto
doaj   +1 more source

Some Integral Formulas for the (r + 1)th Mean Curvature of a Closed Hypersurface

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2012
By using the operator 𝐿𝑟, we define the notions of rth order and rth type of a Euclidean hypersurface. By the use of these notions, we are able to obtain some sharp estimates of the (𝑟+1)th mean curvature for a closed hypersurface of the Euclidean space ...
Akram Mohammadpouri, S. M. B. Kashani
doaj   +1 more source

Embedded positive constant r-mean curvature hypersurfaces in Mm × R

open access: yesAnais da Academia Brasileira de Ciências, 2005
Let M be an m-dimensional Riemannian manifold with sectional curvature bounded from below. We consider hypersurfaces in the (m + 1)-dimensional product manifold M x R with positive constant r-mean curvature.
Cheng Xu, Rosenberg Harold
doaj  

Investigating the characteristics of Clifford hypersurfaces and the unit sphere via a minimal immersion in $ S^{n+1} $

open access: yesAIMS Mathematics
In this article, we find the different sufficient conditions for a compact minimal hypersurface $ M $ of the unit sphere $ S^{n+1}, n\in \mathbb{Z}^{+} $ to be the Clifford hypersurface $ S^{\ell }(\sqrt{\frac{\ell }{n}})\times S^{m}(\sqrt{\frac{m}{n}}),
Ibrahim Al-dayel
doaj   +1 more source

The Viro Method for Construction of Piecewise Algebraic Hypersurfaces

open access: yesAbstract and Applied Analysis, 2013
We propose a new method to construct a real piecewise algebraic hypersurface of a given degree with a prescribed smoothness and topology. The method is based on the smooth blending theory and the Viro method for construction of Bernstein-Bézier algebraic
Yisheng Lai, Weiping Du, Renhong Wang
doaj   +1 more source

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