On hypersurfaces of Lorentzian standard ۴-space forms satisfying a biconservativity condition
عنوان مقاله: On hypersurfaces of Lorentzian standard ۴-space forms satisfying a biconservativity condition
شناسه ملی مقاله: JR_KJMMRC-13-1_021
منتشر شده در در سال 1402
شناسه ملی مقاله: JR_KJMMRC-13-1_021
منتشر شده در در سال 1402
مشخصات نویسندگان مقاله:
Firooz Pashaie - Department of Mathematics, Faculty of Basic Sciences, University of Maragheh, Maragheh, Iran
خلاصه مقاله:
Firooz Pashaie - Department of Mathematics, Faculty of Basic Sciences, University of Maragheh, Maragheh, Iran
In this manuscript, we consider an extended version of biconservativity condition (namely, {\textrm C}-biconservativity) on the Riemannian hypersurfaces of Lorentzian standard ۴-space forms. This new condition is obtained by substituting the Cheng-Yau operator {\textrm C} instead of the Laplace operator \Delta. We show that every {\textrm C}-biconservative Riemannian hypersurface of a Lorentzian ۴-space form with constant mean curvature has constant scalar curvature.
کلمات کلیدی: Cheng-Yau operator, {\textrm C}-biconservative, scalar curvature
صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/1821766/