Results 131 to 140 of about 2,241,688 (305)
On the Gauss Map of Surfaces of Revolution with Lightlike Axis in Minkowski 3-Space
Journal of Function Spaces and Applications, 2013 By studying the Gauss map G and Laplace operator Δh of the second fundamental form h, we will classify surfaces of revolution with a lightlike axis in 3-dimensional Minkowski space and also obtain the surface of Enneper of the 2nd kind, the surface of ...
Minghao Jin, Donghe Pei, Shu Xu
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Hypersurfaces with planar lines of curvature in Euclidean Space
Selecciones Matemáticas, 2017 In this work, we present explicit parameterizations of hypersurfaces parameterized by lines of curvature with prescribed Gauss map and we characterize the hypersurfaces with planar curvature lines.
Carlos M. C. Riveros +1 more
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The Gauss map of surfaces in $$\widetilde{\mathrm {PSL}}_2(\mathbb {R})$$PSL~2(R)
, 2015 We define a Gauss map for surfaces in the universal cover of the Lie group $$\mathrm {PSL}_2(\mathbb {R})$$PSL2(R) endowed with a left-invariant Riemannian metric having a $$4$$4-dimensional isometry group.
Benoît Daniel +2 more
semanticscholar +1 more source
Energy Science &Engineering, EarlyView.This paper proposes a decentralized peer‐to‐peer federated learning framework for wind turbine bearing remaining useful life prediction, introducing a virtual client paradigm in which statistical health indicators serve as independent feature‐level clients—enabling privacy‐preserving collaborative prognostics from a single physical asset under ...
Jihene Sidhom +2 more
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Conformal deformations preserving the Gauss map [PDF]
Pacific Journal of Mathematics, 1992 We establish conditions on a conformal immersion of a Riemannian manifold in the Euclidean space for the existence of another conformal immersion with the same Gauss map. For surfaces in \(\mathbb{R}^ 3\) these conditions are expressed by a partial differential equation envolving the principal curvatures.
openaire +2 more sources
Energy Science &Engineering, EarlyView.Mine‐water immersion tests reveal pronounced coal weakening (vs. minor concrete degradation), identifying coal pillars as the stability‐limiting component in composite dams. A coupled FEINN framework quantifies extreme‐pressure stability and ranks multi‐parameter designs via a normalized multi‐indicator scheme, enabling optimized dam configuration for ...
He Wen +6 more
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Energy Science &Engineering, EarlyView.We present a smart solar tracking method using artificial intelligence to improve the efficiency of solar panels. Unlike traditional techniques, our system learns and adapts to changing sunlight conditions, ensuring faster and more reliable power generation for real‐world energy needs.
Rida Amine +5 more
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Applications of Quaternionic Holomorphic Geometry to minimal surfaces
Complex Manifolds, 2016 In this paper we give a survey of methods of Quaternionic Holomorphic Geometry and of applications of the theory to minimal surfaces. We discuss recent developments in minimal surface theory using integrable systems.
Leschke K., Moriya K.
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Energy Science &Engineering, EarlyView.This study presents an inter‐material transfer learning framework for nanofluid heat transfer prediction in energy systems. By leveraging knowledge from Al2O3‐water data, the model accurately predicts hybrid Al2O3‐TiO2 nanofluid performance with only 20 simulations, achieving R2 = 0.985 and reducing computational requirements by 78. ABSTRACT This paper
Soumaya Hadj Salah +2 more
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International Journal of Mathematics and Mathematical Sciences, 1990 A simple proof of a theorem of H. Hopf [1], via Morse theory, is given.
Takis Sakkalis
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