Home

About

Advanced Search

Browse by Discipline

Scientific Societies

E-print Alerts

Add E-prints

E-print Network
FAQHELPSITE MAPCONTACT US


  Advanced Search  

 
Riemannian geometry of the twistor space of a symplectic manifold
 

Summary: Riemannian geometry of the twistor
space of a symplectic manifold
R. Albuquerque
rpa@uevora.pt
Departamento de Matem´atica, Universidade de ´Evora
´Evora, Portugal
September 2004
0.1 The metric
In this short communication we show some computations about the curvature of a metric
defined on the twistor space of a symplectic manifold.
Let (M, , ) be a symplectic manifold endowed with a symplectic connection (that
is = 0, T = 0). Recall that the twistor space
Z = j End TxM : x M, j2
= -1, type (1,1) for j and ( , j ) > 0
is a bundle : Z M, with obvious projection, together with an almost complex
structure J defined as follows. First, notice the connection induces a splitting
0 - V - TZ = H V
d
-
TM - 0

  

Source: Albuquerque, Rui - Departamento de Matemática, Universidade de Évora

 

Collections: Mathematics