J. Korean Math. Soc. 1999; 36(4): 663-677
Printed July 1, 1999
Copyright © The Korean Mathematical Society.
Nassar H. Abdel-All, and Rawya A. Hussein
This work is concerned mainly with the variational problem on an immersion $x: M\to E^{4}$. 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: stability, immersion, normal variation
MSC numbers: 53A10, 53B25, 53C40, 53C45
2024; 61(2): 227-253
2022; 59(4): 733-756
2022; 59(2): 279-298
2021; 58(5): 1109-1129
© 2022. The Korean Mathematical Society. Powered by INFOrang Co., Ltd