CERTAIN CLASS OF CONTACT CR-SUBMANIFOLDS OF AN ODD-DIMENSIONAL UNIT SPHERE
نویسندگان
چکیده
منابع مشابه
Contact CR Submanifolds of maximal Contact CR dimension of Sasakian Space Form
In this paper, we investigate contact CR submanifolds of contact CR dimension in Sasakian space form and introduce the general structure of these submanifolds and then studying structures of this submanifols with the condition h(FX,Y)+h(X,FY)=g(FX,Y)zeta, for the normal vector field zeta, which is nonzero, and we classify these submanifolds.
متن کاملCertain Contact Submanifolds of Complex Space Forms
We study the differential geometric properties of n-dimensional real submanifolds M of complex space forms M , whose maximal holomorphic tangent subspace is (n− 1)-dimensional. On these manifolds there exists an almost contact structure F which is naturally induced from the ambient space. Using certain condition on the induced almost contact structure F and on the second fundamental form h of t...
متن کاملContact CR-Warped product submanifolds in Kenmotsu space forms
Abstract: In the present paper, we give a necessary and sufficient condition for contact CR-warped product to be contact CR-product in Kenmotsu space forms.
متن کاملApplication of Hopf's lemma on contact CR-warped product submanifolds of a nearly Kenmotsu manifold
In this paper we consider contact CR-warped product submanifolds of the type $M = N_Ttimes_f N_perp$, of a nearly Kenmotsu generalized Sasakian space form $bar M(f_1, f_2, f_3)$ and by use of Hopf's Lemma we show that $M$ is simply contact CR-product under certain condition. Finally, we establish a sharp inequality for squared norm of the second fundamental form and equality case is dis...
متن کاملContact graphs of unit sphere packings revisited
The contact graph of an arbitrary finite packing of unit balls in Euclidean 3-space is the (simple) graph whose vertices correspond to the packing elements and whose two vertices are connected by an edge if the corresponding two packing elements touch each other. One of the most basic questions on contact graphs is to find the maximum number of edges that a contact graph of a packing of n unit ...
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: Taiwanese Journal of Mathematics
سال: 2010
ISSN: 1027-5487
DOI: 10.11650/twjm/1500405810