ON ELLIPTIC LINEAR TIMELIKE PARALLEL WEINGARTEN SURFACES SATISFYING THE CONDITION 2a^rH^r + b^rK^r = c^r

Year 2014, Volume: 2 Issue: 2, 119 - 127, 01.12.2014

CUMALİ Ekici YASİNÜNLÜTÜRK MURADİYEÇİMDİKER

https://izlik.org/JA43RU85RE

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 map

Keywords

Elliptic linearity , Gauss map , Laplacian operator , conformal structure , parallel Weingarten surfaces

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• Eskis¸ehir Osmangazi University, Department of Mathematics-Computer, 26480, Eskis¸ehir- Turkey
• E-mail address: [e-mail]
• Department of Mathematics, Kırklareli University, 39100, Kırklareli-Turkey
• E-mail address: [e-mail]
• Department of Mathematics, Kırklareli University, 39100, Kırklareli-Turkey
• E-mail address: [e-mail]