THE DIFFERENTIAL GEOMETRY OF REGULAR CURVES ON A REGULAR TIME-LIKE SURFACE

TitleTHE DIFFERENTIAL GEOMETRY OF REGULAR CURVES ON A REGULAR TIME-LIKE SURFACE
Publication TypeJournal Article
Year of Publication2015
AuthorsOZYILMAZ EMIN, YAYLI YUSUF
JournalDynamic Systems and Applications
Volume24
Start Page349
Pagination12
Date Published2015
ISSN1056-2176
AMS Subject Classification53A04, 53B30
Abstract

In this study, we consider time-like regular surface in Minkowski space as y = y(u, v) and investigate Darboux vectors of the time-like curves on time-like surface as (c), (c1) and (c2) which are not intersect perpendicularly. Moreover, we give a relation between the Darboux vectors of these Darboux frames. By this relation we obtain general Liouville formula and general form Euler and O. Bonnet.
PDFhttps://acadsol.eu/dsa/articles/24/28-DSA-349-360.pdf
Refereed DesignationRefereed