CONTACT-HOMOGENEOUS LOCALLY $\varphi$-SYMMETRIC MANIFOLDS
It is an open question whether every strongly locally $\varphi$-symmetric contact metric space is a $(\kappa,\mu)$-space. We show that the answer is positive for locally homogeneous contact metric manifolds.(Received May 31 2005)
(Accepted August 17 2005)
53D10; 53C25; 53C30.