Results 51 to 60 of about 91,052 (253)
Lightlike Hypersurfaces and Canal Hypersurfaces of Lorentzian Surfaces
Abstract and Applied Analysis, 2014 The lightlike hypersurfaces in semi-Euclidean space are of special interest in Relativity Theory. In particular, the singularities of these lightlike hypersurfaces provide good models for the study of different horizon types. And we obtain some geometrical propositions of the canal hypersurfaces of Lorentzian surfaces.
Donghe Pei, Jianguo Sun, Jianguo Sun
openaire +3 more sources
Geometric Characterizations of Canal Hypersurfaces in Euclidean Spaces [PDF]
arXiv, 2021 In the present paper, firstly we obtain the general expression of canal hypersurfaces in Euclidean n-space and deal with canal hypersurfaces in Euclidean 4-space E4. We compute Gauss map, Gaussian curvature and mean curvature of canal hypersurfaces in E4 and obtain an important relation between the mean and Gaussian curvatures as 3Hrho = Krho^3-2.
arxiv
The Value of Device Characterization for the Optimization of Organic Solar Cells
Advanced Energy Materials, EarlyView.Using the example of organic photovoltaics (OPV), this study examines whether and when additional measurements can be helpful in process optimization. A virtual laboratory based on real solar cells serves as a benchmark function to compare two different approaches for process optimization, namely black‐box optimization (black circle) and model‐based ...
Leonard Christen +4 more
wiley +1 more source
Chemistry – An Asian Journal, EarlyView.The SF‐TDDFT study of 10,10′,11,11′‐tetrahydro‐5,5′‐bidibenzo[a,d][7]annulenylidene (a tetrabenzoheptafulvalene derivative, abbreviated as THBDBA) in THF solution reveals the cause of its AIE behavior, While in solution intramolecular vibration leads to conical intersection between S0 and S1 states (i.
Aarzoo, Ram Kinkar Roy
wiley +1 more source
Differential Geometry and Matrix-Based Generalizations of the Pythagorean Theorem in Space Forms
MathematicsIn this work, we consider Pythagorean triples and quadruples using fundamental form matrices of hypersurfaces in three- and four-dimensional space forms and illustrate various figures. Moreover, we generalize that an immersed hypersphere Mn with radius r
Erhan Güler +2 more
doaj +1 more source
Extrinsic and intrinsic curvatures in thermodynamic geometry
Physics Letters B, 2016 We investigate the intrinsic and extrinsic curvatures of a certain hypersurface in thermodynamic geometry of a physical system and show that they contain useful thermodynamic information.
Seyed Ali Hosseini Mansoori +2 more
doaj +1 more source
Characterization of Biharmonic Hypersurface
Researches in Mathematics, 2022 The main purpose of this paper is to study biharmonic hypersurface in a quasi-paraSasakian manifold $\mathbb{Q}^{2m+1}$. Biharmonic hypersurfaces are special cases of biharmonic maps and biharmonic maps are the critical points of the bienergy functional.
S.K. Srivastava, K. Sood, K. Srivastava
doaj +1 more source
Hopf hypersurfaces in spaces of oriented geodesics [PDF]
J. Geom. 108 (2017) 1129 -1135, 2016 A Hopf hypersurface in a (para-)Kaehler manifold is a real hypersurface for which one of the principal directions of the second fundamental form is the (para-)complex dual of the normal vector. We consider particular Hopf hypersurfaces in the space of oriented geodesics of a non-flat space form of dimension greater than 2.
arxiv +1 more source
Hypersurfaces and Codazzi tensors [PDF]
Monatshefte für Mathematik, 2008 In this paper we deal with the following problem: Find all Riemannian metrics on a manifold that can be realized isometrically as immersed hypersurfaces in the Euclidean space. We study this problem for a wide class of metrics on hypersurfaces arising from Codazzi tensors.
Hasanis, T., Vlachos, T.
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