- Mathematical Sciences and Applications E-Notes
- Volume:2 Issue:2
- ON ELLIPTIC LINEAR TIMELIKE PARALLEL WEINGARTEN SURFACES SATISFYING THE CONDITION 2a^rH^r + b^rK^r =...
ON ELLIPTIC LINEAR TIMELIKE PARALLEL WEINGARTEN SURFACES SATISFYING THE CONDITION 2a^rH^r + b^rK^r = c^r
Authors : CUMALİ EKİCİ, YASİNÜNLÜTÜRK, MURADİYEÇİMDİKER
Pages : 119-127
Doi:10.36753/mathenot.207627
View : 42 | Download : 12
Publication Date : 2014-12-01
Article Type : Research Paper
Abstract :In this study, firstly, we obtain the parallel Weingarten surfaceswhich satisfy the condition 2aHr+ brKr= cin Minkowski 3-space. Thenwe give some geometric properties of these kind of surfaces, such as theirGauss map Nrand conformal structures. By using the conformal structuresinduced by arψr− brN, we derive two fundamental elliptic partial differentialequations which involve the immersion and the Gauss mapKeywords : Elliptic linearity, Gauss map, Laplacian operator, conformal structure, parallel Weingarten surfaces
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