Results 1 to 10 of about 1,978,003 (160)
AIMS Mathematics, 2023 In this study, the ruled developable surfaces with pointwise 1-type Gauss map of Frenet-type framed base (Ftfb) curve are introduced in Euclidean 3-space.
Yanlin Li +3 more
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5D Gauss Map Perspective to Image Encryption with Transfer Learning Validation
Applied Sciences, 2022 Encryption of visual data is a requirement of the modern day. This is obvious and greatly required due to widespread use of digital communication mediums, their wide range of applications, and phishing activities.
Sharad Salunke +4 more
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Exploring Simplicity Bias in 1D Dynamical Systems [PDF]
EntropyArguments inspired by algorithmic information theory predict an inverse relation between the probability and complexity of output patterns in a wide range of input–output maps. This phenomenon is known as simplicity bias.
Kamal Dingle +3 more
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Differential Geometry of 1-type Submanifolds and Submanifolds with 1-type Gauss Map
International Electronic Journal of Geometry, 2023 The theory of finite type submanifolds was introduced by the first author in late 1970s and it has become a useful tool for investigation of submanifolds. Later, the first author and P.
Bang‐Yen Chen +3 more
semanticscholar +1 more source
On the Gauss map of equivariant immersions in hyperbolic space [PDF]
Journal of Topology, 2020 Given an oriented immersed hypersurface in hyperbolic space Hn+1$\mathbb {H}^{n+1}$ , its Gauss map is defined with values in the space of oriented geodesics of Hn+1$\mathbb {H}^{n+1}$ , which is endowed with a natural para‐Kähler structure.
Christian El Emam, Andrea Seppi
semanticscholar +1 more source
On special developable ruled surfaces with pointwise 1-type Gauss map
Miskolc Mathematical Notes, 2021 . In this paper, some special developable ruled surfaces with point-wise Gauss map are studied. Three different special developable ruled surfaces called rectifying ruled surface, generalized normal ruled surface and osculating type ruled surface are ...
Onur Kaya, M. Önder
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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 LorentzâMinkowski 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
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Geometric characterizations of canal surfaces with Frenet center curves
AIMS Mathematics, 2021 In this work, we study the canal surfaces foliated by pseudo hyperbolic spheres $ \mathbb{H}_{0}^{2} $ along a Frenet curve in terms of their Gauss maps in Minkowski 3-space.
Jinhua Qian +3 more
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Applied Sciences, 2023 High-dimensional systems are more secure than their lower-order counterparts. However, high security with these complex sets of equations and parameters reduces the transmission system’s processing speed, necessitating the development of an algorithm ...
Sharad Salunke +4 more
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Spheres and Tori as Elliptic Linear Weingarten Surfaces
Mathematics, 2022 The linear Weingarten condition with ellipticity for the mean curvature and the extrinsic Gaussian curvature on a surface in the three-sphere can define a Riemannian metric which is called the elliptic linear Weingarten metric.
Dong-Soo Kim, Young Ho Kim, Jinhua Qian
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