ON INVARIANT SUBMANIFOLDS OF CONTACT METRIC MANIFOLDS
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ON INVARIANT SUBMANIFOLDS OF CONTACT METRIC MANIFOLDS
Invariant submanifolds of (/C,J.i)-manifolds and (/C,J.i)-space forms are studied. 1 Introduction. A differentiable I-form 1] on a differentiable manifold M2m+! is ...
TSUKUBA J. MATH. Vol. 29 No.2 (2005), 495-510
ON INVARIANT SUBMANIFOLDS OF CONTACT METRIC MANIFOLDS By Mukut Mani TRIPATHI, Tooru SASAHARA and Jeong-Sik KIM
Abstract. Invariant submanifolds of (/C,J.i)-manifolds and (/C,J.i)-space forms are studied.
1
Introduction
A differentiable I-form 1] on a differentiable manifold M2m+! is called a contact form if 1] 1\ (d1])m #- 0 everywhere on M 2m +l, and M2m+1 equipped with a contact form is a contact manifold. It is well-known that there exist a unique global vector field ~, called the characteristic vector field, a (I, I)-tensor field ({J and a Riemannian metric > satisfying certain relations. The structure (1],~, ({J,
