Title :
A sort of three dimensional Hopf manifold
Author :
Ju, Yang Yang ; Jun, Wang Baa
Author_Institution :
Sch. of Math. & Stat., Nanyang Normal Univ., Nanyang, China
Abstract :
The main results of this paper are the following: A sort of three-dimensional Hopf manifold is constructed by applications of linear matrix cyclic group action on Kähler manifold; A method of calculating the holomorphic vectors of the three-dimensional Hopf manifold is provided by means of several complex holomorphic function and universal covering theory; Some kind of this Hopf manifold do not admit locally conformal Kähler metrics with parallel Lee form.
Keywords :
functions; group theory; matrix algebra; vectors; 3D Hopf manifold; Kähler manifold; complex holomorphic function; holomorphic vectors; linear matrix cyclic group action; parallel Lee form; universal covering theory; Educational institutions; Manifolds; Measurement; Orbits; Hopf manifold; holomorphic vector; lee form; locally conformal Kähler metric;
Conference_Titel :
Communication Software and Networks (ICCSN), 2011 IEEE 3rd International Conference on
Conference_Location :
Xi´an
Print_ISBN :
978-1-61284-485-5
DOI :
10.1109/ICCSN.2011.6014643
