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EN
Delaunay surfaces are investigated by using a moving frame approach. These surfaces correspond to surfaces of revolution in the Euclidean three-space. A set of basic one-forms is defined. Moving frame equations can be formulated and studied. Related differential equations which depend on variables relevant to the surface are obtained. For the case of minimal and constant mean curvature surfaces, the coordinate functions can be calculated in closed form. In the case in which the mean curvature is constant, these functions can be expressed in terms of Jacobi elliptic functions.
2
Content available remote On almost pseudo conformally symmetric manifolds
EN
The object of the present paper is to study a type of non-conformally flat semi-Riemannian manifolds called almost pseudo conform ally symmetric manifold. The existence of an almost pseudo conformally symmetric manifold is also shown by a non-trivial example.
3
Content available remote Integral submanifolds or r-contact manifolds
EN
We study the properties of integral submanifolds of the contact distribution of an r-contact manifold. In particular we find relations between them, r-contactomorphisms and r-contact vector fields, and we find some results for integral submanifolds of S-space forms.
4
Content available remote Complete lift of Fa(K,1) structure in the tangent bundle
EN
Prasad and Gupta have obtained the integrability conditions of a-structure. In the present paper I have studied the complete lift of - structure in the tangent bundle.
5
Content available remote Semi-slant submanifolds of t-manifolds
EN
J. L. Cabrerizo et al. [5] studied slant submanifolds of Sasakian and K- contact manifolds. Semi-slant submanifolds were introduced as a generalized version of CR-submanifold. Cabrerizo et al. [4] obtained interesting results for the semi-slant submanifold of Sasakian manifolds. The purpose of the present paper is to study slant and semi-slant submanifolds of a T-manifold.
6
Content available remote Some simple invariants of the position of a surface in [R^4]
EN
In this paper we introduce certain simple invariants of Roseman moves on surfaces in [R^4]. In this way we obtain invariants of the position of a surface in [R^4].
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