| تعداد نشریات | 24 |
| تعداد شمارهها | 851 |
| تعداد مقالات | 7,575 |
| تعداد مشاهده مقاله | 13,413,778 |
| تعداد دریافت فایل اصل مقاله | 11,580,469 |
SECTIONAL CURVATURE OF TIMELIKE RULED SURFACE PART I: LORENTZIAN BELTRAMI-EULER FORMULA | ||
| Iranian Journal of Science | ||
| مقاله 3، دوره 34، شماره 3، آبان 2010، صفحه 197-214 اصل مقاله (140.37 K) | ||
| نوع مقاله: Regular Paper | ||
| شناسه دیجیتال (DOI): 10.22099/ijsts.2010.2188 | ||
| نویسندگان | ||
| S. ERSOY؛ M. TOSUN* | ||
| Department of Mathematics, Faculty of Arts Sciences, Sakarya University, Turkey | ||
| چکیده | ||
| In this paper, the Lorentzian version of Beltrami-Euler formula is investigated in 1 n . Initially, the first fundamental form and the metric coefficients of generalized timelike ruled surface are calculated and by the help of the Christoffel Symbols, Riemann-Christoffel curvatures are obtained. Thus, the curvatures of spacelike and timelike tangential sections of generalized timelike ruled surface with timelike generating space and central ruled surface are found to be related to the determinant of the first fundamental form of the surface. In addition to this, the relation between the sectional curvature and the distribution parameter of this ruled surface is obtained. Finally, paying attention to the spacelike and timelike central ruled surface of the generalized timelike ruled surface one by one, four different types of Lorentzian Beltrami-Euler formulas are constituted for generalized timelike ruled surface with timelike generating space | ||
| کلیدواژهها | ||
| Sectional curvature؛ Ruled Surface؛ Beltrami-Euler formula | ||
|
آمار تعداد مشاهده مقاله: 1,099 تعداد دریافت فایل اصل مقاله: 966 |
||