THE PROPERTIES OF THE TRANSVERSAL KILLING SPINOR AND TRANSVERSAL TWISTOR SPINOR FOR RIEMANNIAN FOLIATIONS
نویسندگان
چکیده
منابع مشابه
Geometric aspects of transversal Killing spinors on Riemannian flows
We study a Killing spinor type equation on spin Riemannian flows. We prove integrability conditions and partially classify those Riemannian flows M carrying non-trivial solutions to that equation in case M is a local Riemannian product, a Sasakian manifold or 3-dimensional. Mathematics Subject Classification: 53C12, 53C27
متن کاملThe transversal wave equation and the noncommutative geodesic flow in Riemannian foliations
Let (M,F) be a compact Riemannian foliated manifold, equipped with a bundlelike metric gM . We will also use the following notation: N ∗F is the conormal bundle to F , G is the holonomy groupoid of F . In Introduction, we will formulate our main results for the geometric case of the transverse signature operator, referring the reader to the main body of the paper for the formulations in the cas...
متن کاملKilling Spinor Identities
We have found generic Killing spinor identities which bosonic equations of motion have to satisfy in supersymmetric theories if the solutions admit Killing spinors. Those identities constrain possible quantum corrections to bosonic solutions with unbroken supersymmetries. As an application we show that purely electric static extreme dilaton black holes may acquire specific quantum corrections, ...
متن کاملKilling spinor initial data sets
A 3+1 decomposition of the twistor and valence-2 Killing spinor equation is made using the space spinor formalism. Conditions on initial data sets for the Einstein vacuum equations are given so that their developments contain solutions to the twistor and/or Killing equations. These lead to the notions of twistor and Killing spinor initial data. These notions are used to obtain a characterisatio...
متن کاملEigenvalues of the transversal Dirac operator on Kahler foliations
In this paper, we prove Kirchberg-type inequalities for any Kähler spin foliation. Their limiting-cases are then characterized as being transversal minimal Einstein foliations. The key point is to introduce the transversal Kählerian twistor operators.
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: Journal of the Korean Mathematical Society
سال: 2005
ISSN: 0304-9914
DOI: 10.4134/jkms.2005.42.6.1169