Killing vector fields with twistor derivative
نویسندگان
چکیده
Motivated by the possible characterization of Sasakian manifolds in terms of twistor forms, we give the complete classification of compact Riemannian manifolds carrying a Killing vector field whose covariant derivative (viewed as a 2–form) is a twistor form. 2000 Mathematics Subject Classification: Primary 53C55, 58J50.
منابع مشابه
Skew Killing spinors
In this paper, we study the existence of a skew Killing spinor (see the definition below) on 2 and 3-dimensional Riemannian spin manifolds. We establish the integrability conditions and prove that these spinor fields correspond to twistor spinors in the two dimensional case while, up to a conformal change of the metric, they correspond to parallel spinors in the three dimensional case.
متن کاملLocalization formulas about two Killing vector fields
In this article, we will discuss the smooth (XM+ √ −1YM )-invariant forms on M and to establish a localization formulas. As an application, we get a localization formulas for characteristic numbers. The localization theorem for equivariant differential forms was obtained by Berline and Vergne(see [2]). They discuss on the zero points of a Killing vector field. Now, We will discuss on the points...
متن کاملov 1 99 2 QMW - 92 - 6 November 1992 hep - th / 9211113 W - GEOMETRY
The geometric structure of theories with gauge fields of spins two and higher should involve a higher spin generalisation of Riemannian geometry. Such geome-tries are discussed and the case of W ∞-gravity is analysed in detail. While the gauge group for gravity in d dimensions is the diffeomorphism group of the space-time, the gauge group for a certain W-gravity theory (which is W ∞-gravity in ...
متن کاملLorentzian twistor spinors and CR-geometry
In the present paper we study a relation between the Lorentzian twistor equation and CR-geometry. Besides the Dirac operator there is a second important conformally covariant differential operator acting on the spinor fields Γ(S) of a smooth semiRiemannian spin manifold (M,g) of dimension n and index k, the so-called twistor operator D. The twistor operator is defined as the composition of the ...
متن کاملModuli Space of Self-Dual Gauge Fields, Holomorphic Bundles and Cohomology Sets
We discuss the twistor correspondence between complex vector bundles over a self-dual four-dimensional manifold and holomorphic bundles over its twistor space and describe the moduli space of self-dual Yang-Mills fields in terms of Čech and Dolbeault cohomology sets. The cohomological description provides the geometric interpretation of symmetries of the self-dual Yang-Mills equations.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2007