مشخصات پژوهش

عنوان	Geometry of submanifolds of all classes of third-order ODEs as a Riemannian manifold
نوع پژوهش	مقاله چاپ شده
کلیدواژه‌ها	Levi-Civita connection, minimal surface, moving frame, Riemannian manifold, Riemann curvature tensor, totally geodesic
چکیده	In this paper, we prove that any surface corresponding to linear second-order ODEs as a submanifold is minimal in all classes of third-order ODEs y′′′ = f(x, y, p, q) as a Riemannian manifold where y′ = p and y′′ = q, if and only if qyy = 0. Moreover, we will see the linear second-order ODE with general form y′′ = ±y + β(x) is the only case that is defined a minimal surface and is also totally geodesic.
پژوهشگران	ابو الفضل بهزادی (نفر دوم)، فاطمه بخشنده (نفر اول)، مهدی رفیعی راد (نفر چهارم)، روح الله بخشنده (نفر سوم)