Results 1 to 10 of about 14,054 (185)

Constant Angle Ruled Surfaces with a Pointwise 1-Type Gauss Map [PDF]

open access: yesMathematics
In this study, constant angle ruled surfaces with a pointwise 1-type Gauss map, which is very useful in the classification of surfaces, are investigated in terms of the Frenet elements of the base curves of the ruled surfaces in Euclidean 3-space.
Vladimir Baltić   +3 more
doaj   +3 more sources

MERIDIAN SURFACES IN 𝔼4WITH POINTWISE 1-TYPE GAUSS MAP [PDF]

open access: yesBulletin of the Korean Mathematical Society, 2014
11 ...
BULCA, BETÜL   +2 more
openaire   +7 more sources

TENSOR PRODUCT SURFACES WITH POINTWISE 1-TYPE GAUSS MAP [PDF]

open access: yesBulletin of the Korean Mathematical Society, 2011
Tensor product immersions of a given Riemannian manifold was initiated by B.-Y. Chen. In the present article we study the tensor product surfaces of two Euclidean plane curves. We show that a tensor product surface M of a plane circle c1 centered at origin with an Euclidean planar curve c2 has harmonic Gauss map if and only if M is a part of a plane ...
Arslan, Kadri   +5 more
openaire   +6 more sources

HELICOIDAL SURFACES WITH POINTWISE 1-TYPE GAUSS MAP [PDF]

open access: yesJournal of the Korean Mathematical Society, 2009
The helicoidal surfaces with pointwise 1-type or harmonic gauss map in Euclidean 3-space are studied. The notion of pointwise 1- type Gauss map is a generalization of usual sense of 1-type Gauss map. In particular, we prove that an ordinary helicoid is the only genuine he- licoidal surface of polynomial kind with pointwise 1-type Gauss map of the flrst
Mie-Kyung Choi   +2 more
exaly   +2 more sources

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   +2 more sources

On special developable ruled surfaces with pointwise 1-type Gauss map [PDF]

open access: yesMiskolc Mathematical Notes, 2021
Summary: 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 considered. The conditions for such surfaces to have 1-type Gauss map and also to be minimal are
Kaya, O., Önder, M.
openaire   +2 more sources

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

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