Generalized η-Einstein 3-Dimensional Trans-Sasakian Manifold
نویسندگان
چکیده
منابع مشابه
On an Einstein Projective Sasakian Manifold
In this paper, we have proved that a projectively flat Sasakian manifold is an Einstein manifold. Also, if an Einstein-Sasakian manifold is projectively flat, then it is locally isometric with a unit sphere S(1). It has also been proved that if in an Einsten-Sasakian manifold the relation K(X, Y ).P = 0 holds, then it is locally isometric with a unit sphere S(1). AMS Mathematics Subject Classif...
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A review of the geometry of 3-dimensional contact metric manifolds shows that generalized Sasakian manifolds and η-Einstein manifolds are deeply interrelated. For example, it is known that a 3-dimensional Sasakian manifold is η-Einstein. In this paper, we discuss the relationships between several special classes of 3-dimensional contact metric manifolds which are generalizations of 3-dimensiona...
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We study half lightlike submanifold M of an indefinite transSasakian manifold such that its structure vector field is tangent to M . First we study the general theory for such half lightlike submanifolds. Next we prove some characterization theorems for half lightlike submanifolds of an indefinite generalized Sasakian space form.
متن کاملOn Sasakian-Einstein Geometry
In 1960 Sasaki [Sas] introduced a type of metric-contact structure which can be thought of as the odd-dimensional version of Kähler geometry. This geometry became known as Sasakian geometry, and although it has been studied fairly extensively ever since it has never gained quite the reputation of its older sister – Kählerian geometry. Nevertheless, it has appeared in an increasing number of dif...
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ژورنال
عنوان ژورنال: Advanced Trends in Mathematics
سال: 2015
ISSN: 2394-532X
DOI: 10.18052/www.scipress.com/atmath.2.28