Results 51 to 60 of about 13,708 (218)

Parallel Hypersurfaces in 𝔼⁴ and Their Applications to Rotational Hypersurfaces

Mathematics
This 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, Ilim Kişi, Günay Öztürk, Emre Kişi   +3 more
doaj   +1 more source

New results toward the classification of biharmonic submanifolds in 𝕊n

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2012
We prove some new rigidity results for proper biharmonic immer- sions in Sn of the following types: Dupin hypersurfaces; hypersurfaces, both compact and non-compact, with bounded norm of the second fun- damental form; hypersurfaces satisfying intrinsic ...
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doaj   +1 more source

The Radical Chemistry of 2,3‐Diguanidinopyridines: Coordination and Visible‐Light Photochemistry

Chemistry – A European Journal, EarlyView.
Substitution at the pyridine core of 2,3‐diguanidinopyridines was used to develop novel redox‐active molecules with three interconvertible redox states. They are applied as redox‐active ligands in coordination chemistry. Visible‐light irradiation of the pyridine N‐benzylated molecules leads to photoconversion to a higher‐energetic isomer.
Hanna Koepcke, Etienne Engels, Elisabeth Kaifer, Hans‐Jörg Himmel   +3 more
wiley   +1 more source

Hypersurfaces with pointwise 1-type Gauss map in Lorentz–Minkowski space; 146–161 [PDF]

Proceedings of the Estonian Academy of Sciences, 2009
Hypersurfaces of a Lorentz–Minkowski space Ln+1 with pointwise 1-type Gauss map are characterized. We prove that an oriented hypersurface Mq in Ln+1 has pointwise 1-type Gauss map of the first kind if and only if Mq has constant mean curvature and ...
Uğur Dursun
doaj   +1 more source

Mechanistic Insights Into Luminol Chemiexcitation: The Role of the Amide Carbonyls

Chemistry – A European Journal, EarlyView.
By means of quantum‐chemical calculations, we demonstrate that the 1,2‐dioxin ring forms following nitrogen release from parent luminol. We also identify alkoxide groups derived from the amide carbonyls of luminol as key enhancers of the chemiexcitation yield.
Juliana Cuéllar‐Zuquin, Héctor Vila‐Cervera, Angelo Giussani, Daniel Roca‐Sanjuán   +3 more
wiley   +1 more source

Height estimates and half-space theorems for hypersurfaces in product spaces of the type ℝ×Mn

Anais da Academia Brasileira de Ciências, 2021
We obtain height estimates and half-space theorems concerning a wide class of hypersurfaces immersed into a product space ℝ × M n, the so-called generalized linear Weingarten hypersurfaces, which extends that one having some constant higher order ...
EUDES L. DE LIMA, HENRIQUE F. DE LIMA
doaj   +1 more source

Front Propagation Through a Perforated Wall

Communications on Pure and Applied Mathematics, EarlyView.
ABSTRACT We consider a bistable reaction– diffusion equation ut=Δu+f(u)$u_t=\Delta u +f(u)$ on RN${\mathbb {R}}^N$ in the presence of an obstacle K$K$, which is a wall of infinite span with many holes. More precisely, K$K$ is a closed subset of RN${\mathbb {R}}^N$ with smooth boundary such that its projection onto the x1$x_1$‐axis is bounded and that ...
Henri Berestycki, François Hamel, Hiroshi Matano   +2 more
wiley   +1 more source

A Class of Special Hypersurfaces in Real Space Forms

Journal of Function Spaces, 2016
We define the generalized golden- and product-shaped hypersurfaces in real space forms. A hypersurface M in real space forms Rn+1, Sn+1, and Hn+1 is isoparametric if it has constant principal curvatures.
Yan Zhao, Ximin Liu
doaj   +1 more source

Peskine Sixfolds and Debarre–Voisin Fourfolds With Associated Cubic Fourfolds

Mathematische Nachrichten, EarlyView.
ABSTRACT We develop the notion of Peskine sixfolds with associated K3 surfaces and cubic fourfolds and work out numerical conditions for when these associations occur. In discriminant 24, the first family for which there is an associated cubic fourfold, we identify the cubic explicitly.
Corey Brooke, Laure Flapan, Sarah Frei, Lisa Marquand   +3 more
wiley   +1 more source

Geometric properties of Lie hypersurfaces in a complex hyperbolic space [PDF]

, 2019
summary:We study homogeneous real hypersurfaces having no focal submanifolds in a complex hyperbolic space. They are called Lie hypersurfaces in this space. We clarify the geometry of Lie hypersurfaces in terms of their sectional curvatures, the behavior
Tanabe, Hiromasa, Maeda, Sadahiro, Kim, Young Ho   +2 more
core   +1 more source