منابع مشابه
The Sasaki Cone and Extremal Sasakian Metrics
We study the Sasaki cone of a CR structure of Sasaki type on a given closed manifold. We introduce an energy functional over the cone, and use its critical points to single out the strongly extremal Reeb vectors fields. Should one such vector field be a member of the extremal set, the scalar curvature of a Sasaki extremal metric representing it would have the smallest L2-norm among all Sasakian...
متن کاملExtremal isolated horizons: a local uniqueness theorem
We derive all the axi-symmetric, vacuum and electrovac extremal isolated horizons. It turns out that for every horizon in this class, the induced metric tensor, the rotation 1-form potential and the pullback of the electromagnetic field necessarily coincide with those induced by the monopolar, extremal Kerr– Newman solution on the event horizon. We also discuss the general case of a symmetric, ...
متن کاملExtremal Sasakian Metrics on S-bundles over S
In this note I prove the existence of extremal Sasakian metrics on S3-bundles over S2. These occur in a collection of open cones that I call a
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...
متن کاملTrans-sasakian Manifolds
The object of the present paper is to study the extended generalized φ-recurrent trans-Sasakian manifold and its various geometric properties.
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: Physics Letters B
سال: 2012
ISSN: 0370-2693
DOI: 10.1016/j.physletb.2012.05.065