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.
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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.
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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.
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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.
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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.
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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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