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

来源：

COMPLEX VARIABLES AND ELLIPTIC EQUATIONS | 2023年 / 68卷 / 10期

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

页码：1812 / 1832

页数：21

共 50 条

[31] Chen inequalities for submanifolds of complex space forms and Sasakian space forms with quarter-symmetric connections [J].

Wang, Yong .

INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2019, 16 (08)

[32] VANISHING PROPERTIES OF p-HARMONIC l-FORMS ON RIEMANNIAN MANIFOLDS [J].

Nguyen Thac Dung ;

Pham Trong Tien .

JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2018, 55 (05) :1103-1129

[33] A Note on p-Harmonic l-Forms on Complete Non-compact Manifolds [J].

Dung, Ha Tuan ;

Dung, Nguyen Thac ;

Tuyen, Nguyen Dang .

MEDITERRANEAN JOURNAL OF MATHEMATICS, 2023, 20 (02)

[34] Pseudo-parallel Lagrangian submanifolds in complex space forms [J].

Chacon, Pablo M. ;

Lobos, Guillermo A. .

DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS, 2009, 27 (01) :137-145

[35] Density and spectrum of minimal submanifolds in space forms [J].

Lima, Barnabe Pessoa ;

Mari, Luciano ;

Bezerra Montenegro, Jose Fabio ;

Vieira, Franciane de Brito .

MATHEMATISCHE ANNALEN, 2016, 366 (3-4) :1035-1066

[36] GEOMETRIC INEQUALITIES FOR EINSTEIN TOTALLY REAL SUBMANIFOLDS IN A COMPLEX SPACE FORM [J].

Zhang, Pan ;

Zhang, Liang ;

Tripathi, Mukut Mani .

REVISTA DE LA UNION MATEMATICA ARGENTINA, 2017, 58 (02) :189-198

[37] p-Harmonic functions and connectedness at infinity of complete submanifolds in a Riemannian manifold [J].

Nguyen Thac Dung ;

Seo, Keomkyo .

ANNALI DI MATEMATICA PURA ED APPLICATA, 2017, 196 (04) :1489-1511

[38] Classification of ideal submanifolds of real space forms with type number ≤ 2 [J].

Chen, Bang-Yen ;

Yildirim, Handan .

JOURNAL OF GEOMETRY AND PHYSICS, 2015, 92 :167-180

[39] p-harmonic l-forms on Riemannian manifolds with a weighted Poincare inequality [J].

Nguyen Thac Dung .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2017, 150 :138-150

[40] Rigidity of Minimal Submanifolds in Space Forms [J].

Chen, Hang ;

Wei, Guofang .

JOURNAL OF GEOMETRIC ANALYSIS, 2021, 31 (05) :4923-4933

← 1 2 3 4 5 →