Results 1 to 10 of about 58 (58)

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

open access: yesProceedings 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

Spherical Ruled Surfaces in S3 Characterized by the Spherical Gauss Map

open access: yesMathematics, 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
doaj   +1 more source

Classifications of Canal Surfaces with the Gauss Maps in Minkowski 3-Space

open access: yesMathematics, 2020
In this work, we study the canal surfaces foliated by pseudo spheres S12 along a Frenet curve in terms of their Gauss maps in Minkowski 3-space. Such kind of surfaces with pointwise 1-type Gauss maps are classified completely.
Jinhua Qian   +3 more
doaj   +1 more source

Global Conharmonic Concept Type Nearly Kahler Manifold

open access: yesTikrit Journal of Pure Science, 2023
The concept of permanence conharmonic type Nearly Kahler manifold conditions are obtained when the Nearly Kahler manifold is a manifold conharmonic constant type.
Ali A. Shihab
doaj   +1 more source

On rational Abel – Poisson means on a segment and approximations of Markov functions

open access: yesЖурнал Белорусского государственного университета: Математика, информатика, 2021
Approximations on the segment [−1, 1] of Markov functions by Abel – Poisson sums of a rational integral operator of Fourier type associated with the Chebyshev – Markov system of algebraic fractions in the case of a fixed number of geometrically different
Pavel G. Patseika, Yauheni A. Rouba
doaj   +1 more source

Supersolutions to nonautonomous Choquard equations in general domains

open access: yesAdvances in Nonlinear Analysis, 2023
We consider the nonlocal quasilinear elliptic problem: −Δmu(x)=H(x)((Iα*(Qf(u)))(x))βg(u(x))inΩ,-{\Delta }_{m}u\left(x)=H\left(x){(\left({I}_{\alpha }* \left(Qf\left(u)))\left(x))}^{\beta }g\left(u\left(x))\hspace{1.0em}\hspace{0.1em}\text{in}\hspace{0 ...
Aghajani Asadollah, Kinnunen Juha
doaj   +1 more source

Classification Theorems of Ruled Surfaces in Minkowski Three-Space

open access: yesMathematics, 2018
By generalizing the notion of the pointwise 1-type Gauss map, the generalized 1-type Gauss map has been recently introduced. Without any assumption, we classified all possible ruled surfaces with the generalized 1-type Gauss map in a 3-dimensional ...
Miekyung Choi, Young Ho Kim
doaj   +1 more source

Rate of Approximation for Modified Lupaş-Jain-Beta Operators

open access: yesJournal of Function Spaces, 2020
The main intent of this paper is to innovate a new construction of modified Lupaş-Jain operators with weights of some Beta basis functions whose construction depends on σ such that σ0=0 and infx∈0,∞σ′x≥1.
M. Qasim   +4 more
doaj   +1 more source

Integrable Solutions for Gripenberg-Type Equations with m-Product of Fractional Operators and Applications to Initial Value Problems

open access: yesMathematics, 2022
In this paper, we deal with the existence of integrable solutions of Gripenberg-type equations with m-product of fractional operators on a half-line R+=[0,∞).
Ateq Alsaadi   +2 more
doaj   +1 more source

Hypersurfaces with Generalized 1-Type Gauss Maps

open access: yesMathematics, 2018
In this paper, we study submanifolds in a Euclidean space with a generalized 1-type Gauss map. The Gauss map, G, of a submanifold in the n-dimensional Euclidean space, En, is said to be of generalized 1-type if, for the Laplace operator, Δ, on the ...
Dae Won Yoon   +3 more
doaj   +1 more source

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