Acta mathematica scientia,Series B ›› 2005, Vol. 25 ›› Issue (2): 331-339.

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GENERALIZED CIRCLES AND THEIR CONFORMAL MAPPING IN A SUBSPACE OF A WEYL SPACE

G¨uler G¨urp?nar Arsan G¨ul?cin C? ivi Y?ld?r?m   

  1. Department of Mathematics, Faculty of Science and Letters, Istanbul Technical University
  • Online:2005-04-20 Published:2005-04-20

Abstract:

The authors give the necessary and sufficient conditions for a generalized
circle in a Weyl hypersurface to be generalized circle in the enveloping Weyl space. They
then obtain the neccessary and sufficient conditions under which a generalized concircular
transformation of one Weyl space onto another induces a generalized transformation on its
subspaces. Finally, it is shown that any totally geodesic or totally umbilical hypersurface
of a generalized concircularly flat Weyl space is also generalized concircularly flat.
Weyl space, generalized circle, generalized concircular transformation, to-

Key words: tally umbilical space;generalized concircular flat space

CLC Number: 

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