On Bi-f-Harmonic Legendre Curves in Sasakian Space Forms
نویسندگان
چکیده
In this study, we consider bi-f -harmonic Legendre curves in Sasakian space forms. We investigate necessary and sufficient conditions for a curve to be various cases.
منابع مشابه
some characterizations for legendre curves in the 3-dimensional sasakian space
in this paper, we give some characterizations for legendre spherical, legendre normal and legendre rectifying curves in the 3-dimensional sasakian space. furthermore, we show that legendre spherical curves are also legendre normal curves. in particular, we prove that the inverse of curvature of a legendre rectifying curve is a non-constant linear function of the arclength parameter.
متن کاملOn a Class of Generalized Sasakian-space-forms
The object of the present paper is to study quasi-conformally flat generalized Sasakian-space-forms. Also we study quasi-conformally semisymmetric generalized Sasakian-space-forms. As a consequence of the results, we obtain some important corollaries.
متن کاملContact CR-warped product submanifolds in generalized Sasakian Space Forms
In [4] B. Y. Chen studied warped product CR-submanifolds in Kaehler manifolds. Afterward, I. Hasegawa and I. Mihai [5] obtained a sharp inequality for the squared norm of the second fundamental form for contact CR-warped products in Sasakian space form. Recently Alegre, Blair and Carriago [1] introduced generalized Sasakian space form. The aim of present paper is to study contact CR-warped prod...
متن کاملBiharmonic Anti - invariant Submanifolds in Sasakian Space Forms ∗
We obtain some classification results and the stability conditions of nonminimal biharmonic anti-invariant submanifolds in Sasakian space forms. MSC 2000: 53C42 (primary); 53B25 (secondary)
متن کاملLegendrian Warped Product Submanifolds in Generalized Sasakian Space Forms
Recently, K. Matsumoto and I. Mihai established a sharp inequality for warped products isometrically immersed in Sasakian space forms. As applications, they obtained obstructions to minimal isometric immersions of warped products into Sasakian space forms. P. Alegre, D.E. Blair and A. Carriazo have introduced the notion of generalized Sasakian space form. In the present paper, we obtain a sharp...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Fundamentals of contemporary mathematical sciences
سال: 2022
ISSN: ['2717-6185']
DOI: https://doi.org/10.54974/fcmathsci.1055588