p-harmonic 1-forms on totally real submanifolds in complex space forms

被引:0
|
作者
Dung, Nguyen Thac [1 ,2 ]
Tuyen, Nguyen Dang [3 ]
机构
[1] Vietnam Natl Univ, Univ Sci, Fac Math Mech Informat, Hanoi, Vietnam
[2] Thang Long Univ, Thang Long Inst Math & Appl Sci TIMAS, Hanoi, Vietnam
[3] Hanoi Univ Civil Engn, Dept Math, Hanoi, Vietnam
关键词
Complex space forms; complex projective spaces; p-harmonic forms; totally real submanifolds; vanishing theorems; STABLE MINIMAL HYPERSURFACES; REGULARITY; SOBOLEV; INEQUALITIES; EIGENVALUE; COHOMOLOGY; CURVATURE;
D O I
10.1080/17476933.2022.2077930
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we consider an n-dimensional totally real submanifold M in complex space forms. We establish some vanishing type theorems for L-Q p-harmonic 1-forms on such submanifolds in both cases: either M is minimal; or M is non-minimal.
引用
收藏
页码:1812 / 1832
页数:21
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