Results 151 to 160 of about 667,453 (193)
Some of the next articles are maybe not open access.
Symmetry
In this paper, we explore the uses of Obata’s differential equation in relation to the Ricci curvature of an odd-dimensional sphere that possesses a semi-symmetric metric connection.
Meraj Ali Khan +3 more
semanticscholar +1 more source
In this paper, we explore the uses of Obata’s differential equation in relation to the Ricci curvature of an odd-dimensional sphere that possesses a semi-symmetric metric connection.
Meraj Ali Khan +3 more
semanticscholar +1 more source
Paraquaternionic CR-Submanifolds
2016Paraquaternionic structures, at first known as quaternionic structures of second kind, are due to P. Libermann. Their study parallels that of quaternionic manifolds, yet relies on the algebra of paraquaternionic numbers. The counterpart in odd dimension of a paraquaternionic structure was introduced in 2006 by S. Ianus, R. Mazzocco and G.E.
openaire +1 more source
2016
This chapter surveys some of the known results on \(\delta \)-ideal CR submanifolds in complex space forms, the nearly Kahler 6-sphere and odd dimensional unit spheres. In addition, the relationship between \(\delta \)-ideal CR submanifolds and critical points of the \(\lambda \)-bienergy functional is mentioned.
openaire +1 more source
This chapter surveys some of the known results on \(\delta \)-ideal CR submanifolds in complex space forms, the nearly Kahler 6-sphere and odd dimensional unit spheres. In addition, the relationship between \(\delta \)-ideal CR submanifolds and critical points of the \(\lambda \)-bienergy functional is mentioned.
openaire +1 more source
Lorentzian geometry of CR submanifolds
Acta Applicandae Mathematicae, 1989A. Bejancu defined CR submanifolds of differentiable manifolds with a (positive definite) Riemannian metric and almost Hermitian structure as a generalization of holomorphic submanifolds and totally real submanifolds. In this article, the notion of CR submanifold is extended to orientable Lorentz submanifolds of semi-Riemannian manifolds with an almost
openaire +2 more sources
CR-Submanifolds of the Nearly Kähler 6-Sphere
2016There is an almost complex structure J on the sphere S6(1) defined by multiplication of the Cayley numbers. This structure is nearly Kähler. A submanifold of a manifold with an almost complex structure is CR, by Bejancu, if it has a differentiable holomorphic distribution H such that its orthogonal complement H⊥⊂TM is a totally real distribution.
Antić, Miroslava, Vrancken, Luc
openaire +1 more source
Geometric and analytic problems for a real submanifold in ℂn with CR singularities
Science China Mathematics, 2017Xiaojun Huang
semanticscholar +2 more sources
Lorentzian Geometry and CR-Submanifolds
2016This paper contains an up-to-date information on the Lorentzian geometry of CR-submanifolds, contact CR-submanifolds and globally framed CR-submanifolds (M, g) of an indefinite semi-Riemannian manifold. In view of the large number of excellent paper appearing in this field, we focus on those key results whose Lorentzian geometry is different than their
openaire +1 more source
Submersions of CR-warped product submanifolds of a nearly Kaehler manifold
Annali dell?Università di Ferrara, 2023Tanveer Fatima, Shahid Ali
semanticscholar +1 more source
$$\mathcal {PR}$$-Semi Slant Warped Product Submanifold of ParaKenmotsu Manifolds
Results in Mathematics, 2022S K Srivastava
exaly