Results 41 to 50 of about 8,796 (232)
Parallel Hypersurfaces in 𝔼4 and Their Applications to Rotational Hypersurfaces
MathematicsThis study explores parallel hypersurfaces in four-dimensional Euclidean space E4, deriving explicit expressions for their Gaussian and mean curvatures in terms of the curvature functions of the base hypersurface. We identify conditions under which these
Sezgin Büyükkütük +3 more
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Osculating hypersurfaces of higher order
Lietuvos Matematikos Rinkinys, 2011 Oscurating surfaces of second order have been studied in classical differential geometry [1]. In this article we generalize this notion to osculating hyper-surfaces of higher order of hyper-surfaces in Euclidean n-space.
Kazimieras Navickis
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$F$-thresholds of hypersurfaces [PDF]
Transactions of the American Mathematical Society, 2009 We continue our study of F-thresholds begun in math/0607660 by an in depth analysis of the hypersurface case. We use the D--module theoretic description of generalized test ideals which allows us to show that in any F--finite regular ring the F-thresholds of hypersurfaces are discrete and rational (in math/0607660 the finite type over a field case was ...
Blickle, Manuel +2 more
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Communications, Faculty Of Science, University of Ankara Series A1Mathematics and Statistics, 1983 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Karliğa, B., Hacisalihoğlu, H. H.
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CR-hypersurfaces of the six-dimensional sphere
International Journal of Mathematics and Mathematical Sciences, 1994 We proved that there does not exist a proper CR-hypersurface of S6 with parallel second fundamental form. As a result of this we showed that S6 does not admit a proper CR-totally umbilical hypersurface.
M. A. Bashir
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Centro-affine hypersurface immersions with parallel cubic form [PDF]
, 2014 International audienceWe consider non-degenerate centro-affine hypersurface immersions in R^n whose cubic form is parallel with respect to the Levi-Civita connection of the affine metric.
Roland Hildebrand, Hildebrand, Roland
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Journal of Inequalities and Applications, 2018 Given a null hypersurface of a Lorentzian manifold, we isometrically immerse a null hypersurface equipped with the Riemannian metric (induced on it by the rigging) into a Riemannian manifold suitably constructed on the Lorentzian manifold.
Karimumuryango Ménédore
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Planarized and Twisted Intramolecular Charge Transfer: Small Geometric, Huge Photophysical Changes
European Journal of Organic Chemistry, EarlyView.Molecular motion governs excited state relaxation in aminobenzonitrile donor–acceptor systems. Small structural modifications control single and dual rotations and enable distinct relaxation pathways. Fluorescence spectroscopy, Lippert–Mataga analysis, and theoretical calculations identify multiple excited states, including a dual‐emitting planarized ...
Zoe Nonie Scheller +2 more
wiley +1 more source
Proceedings of the Steklov Institute of Mathematics, 2006 We exhibit a family of homogeneous hypersurfaces in affine space, one in each dimension, generalising the Cayley surface.
Eastwood, Michael, Ezhov, V
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