Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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ON THE STABILITY OF IMMERSED MANIFOLDS IN $E^4$

  • Abdel-all, Nassar H. (Mathematics Department faculty of science Assiut University) ;
  • Hussein, Rawya A. (Mathematics Department Faculty of Science Assiut University)
  • Published : 1999.07.01
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Abstract

This work is concerned mainly with the variational problem on an immersion x:M $\rightarrow$} $E^4$ . A new approach is introduced depends on the normal variation in any arbitrary normal direction in the normal bundle. The results of this work are considered as a continuation and an extension to that obtained in [1], [2] and [3], [4] respectively. The methods adapted here are based on Cartan's methods of moving frames and the calculus of variations.

Keywords

References

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