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On the invariant surface area functionals in 3-dimensional CR geometry

類別:期刊論文

學年 / 學期:114-2

出版日期:2026-03-01 00:00:00

著者:Pak Tung Ho

著錄名稱、卷期、頁數:Advances in Mathematics 488 , p. 110790

摘要:Cheng, Yang, and Zhang have studied two invariant surface area functionals in 3-dimensional CR manifolds. They deduced the Euler-Lagrange equations of the associated energy functionals when the 3-dimensional CR manifold has constant Webster curvature and vanishing torsion. In this paper, we deduce the Euler-Lagrange equations of the energy functionals in a more general 3-dimensional CR manifold. Moreover, we study the invariant area functionals on the disk bundle, on the Rossi sphere, and on 3-dimensional tori.

關鍵字:CR invariant surface area functional; Pseudohermitian geometry; Rossi sphere

語言:en_US

期刊性質:國外

收錄於:SCI SSCI

審稿制度:

國別:USA

出版型式:電子版