Results 11 to 20 of about 2,083,931 (311)
The Gauss map and secants of the Kummer variety [PDF]
Bulletin of the London Mathematical Society, 2017 Fay's trisecant formula shows that the Kummer variety of the Jacobian of a smooth projective curve has a four‐dimensional family of trisecant lines. We study when these lines intersect the theta divisor of the Jacobian and prove that the Gauss map of the
Robert Auffarth +2 more
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A note on surfaces with prescribed oriented Euclidean Gauss map [PDF]
International Journal of Mathematics and Mathematical Sciences, 2005 We present another proof of a theorem due to Hoffman and Osserman in Euclidean space concerning the determination of a conformal immersion by its Gauss map.
Ricardo Sa Earp, Eric Toubiana
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Pseudo-Spherical Submanifolds with 1-Type Pseudo-Spherical Gauss Map [PDF]
, 2015 In this work, we study pseudo-Riemannian submanifolds of a pseudo-sphere with 1-type pseudo-spherical Gauss map. First, we classify Lorentzian surfaces in a 4-dimensional pseudo-sphere $${\mathbb{S}^4_s(1)}$$Ss4(1) with index s, $${s=1, 2}$$s=1,2, and ...
B. Bektas, E. O. Canfes, U. Dursun
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Spherical Ruled Surfaces in S3 Characterized by the Spherical Gauss Map
Mathematics, 2020 The Laplace operator on a Riemannian manifold plays an important role with eigenvalue problems and the spectral theory. Extending such an eigenvalue problem of smooth maps including the Gauss map, the notion of finite-type was introduced.
Young Ho Kim, Sun Mi Jung
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Canal surfaces with generalized 1-type Gauss map
, 2021 This work considers a kind of classification of canal surfaces in terms of their Gauss map G in Euclidean 3-space. We introduce the notion of generalized 1-type Gauss map for a submanifold that satisfies ∆G = fG+gC, where ∆ is the Laplace operator, C is ...
J. Qian, Mengfei Su, Young Ho Kim
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Surfaces of Revolution and Canal Surfaces with Generalized Cheng–Yau 1-Type Gauss Maps
Mathematics, 2020 In the present work, the notion of generalized Cheng–Yau 1-type Gauss map is proposed, which is similar to the idea of generalized 1-type Gauss maps. Based on this concept, the surfaces of revolution and the canal surfaces in the Euclidean three-space ...
Jinhua Qian +3 more
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Mathematics in Engineering, 2023 We consider elastic thin shells without through-the-thickness shear and depict them as Gauss graphs of parametric surfaces. (We use the term shells to include plates and thin films therein.) We consider an energy depending on the first derivative of the ...
Paolo Maria Mariano, Domenico Mucci
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Journal of Physics: Conference Series, 2020 Chaos based cryptography has becoming an interesting topic lately, as it utilizes chaotic systems properties for secure key concealment. Many chaotic functions are discovered, constructed, and used time over time for this purpose, which will be our main ...
M. Suryadi +2 more
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Chaotic Evolutionary Programming for an Engineering Optimization Problem
Applied Sciences, 2021 The aim of the current paper is to present a mimetic algorithm called the chaotic evolutionary programming Powell’s pattern search (CEPPS) algorithm for the solution of the multi-fuel economic load dispatch problem.
Nirbhow Jap Singh +5 more
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AIMS Mathematics, 2023 In this study, we introduce a family of hypersurfaces of revolution characterized by six parameters in the seven-dimensional pseudo-Euclidean space $ {\mathbb{E}}_{3}^{7} $.
Yanlin Li , Erhan Güler
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