IN THE PRESENT PAPER, WE CONSIDER A POSITION VECTOR OF AN ARBITRARY CURVE IN THE THREE-DIMENSIONAL GALILEAN SPACE G3. FUR- THERMORE, WE GIVE SOME CONDITIONS ON THE CURVATURES OF THIS ARBI- TRARY CURVE TO STUDY SPECIAL CURVES AND THEIR SMARANDACHE CURVES. FINALLY, IN THE LIGHT OF THIS STUDY, SOME RELATED EXAMPLES OF THESE CURVES ARE PROVIDED AND PLOTTED. إقراء المزيد

THIS PAPER AIMS TO DEFINE AND PROVIDE RELATIONSHIPS BETWEEN PAIRS OF BERTRAND CURVES ON RULED SURFACES OF TYPE I IN THE GALILEAN AND PSEUDO-GALILEAN SPACES, MOREOVER, SOME IMPORTANT CONDITIONS BETWEEN THE CURVATURES OF THESE CURVES ARE OBTAINED. إقراء المزيد

THIS PAPER AIMS AT STUDYING THE PARALLEL SURFACE OF SPACE AND TIMELIKE SURFACES IN THE MINKOWSKI 3-SPACE E3 1 . BESIDES, NEW PARAMETRIC EXPRESSIONS OF THE PARALLEL SURFACE OF THESE SURFACES ARE GIVEN. FURTHERMORE, FOR THESE SURFACES WE HAVE CONSIDERED THE LINEAR AND QUADRIC PROPERTIES WITH RESPECT TO ITS GAUSSIAN AND MEAN CURVATURES. إقراء المزيد