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International Journal of Mathematics and Mathematical Sciences
Volume 4, Issue 3, Pages 473-484
http://dx.doi.org/10.1155/S0161171281000331

On related vector fields of capillary surfaces

Department of Mathematics, Istanbul University, Faculty of Science, Vezneciler-lstanbul, Turkey

Received 1 August 1980

Copyright © 1981 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

In this paper, some necessary and sufficient conditions are given for the related vector fields of capillary surfaces to be Killing, conformal Killing, and homothetic conformal Killing vectors in the n-dimensional domain Ω, and a construction of capillary surfaces is also given by means of the related vector fields.