On Vanishing Theorems for Locally Conformally Flat Riemannian Manifolds with an Integral Pinching Condition

被引：0
|
作者：
Pham, Duc Thoan [1 ]
Tran, Van Khien [1 ]
Nguyen, Thi Hong [2 ]
机构：
[1] Hanoi Univ Civil Engn, Dept Math, 55 Giai Phong Rd, Hanoi, Vietnam
[2] Acad Cryptog Tech, Dept Fdn, 141 Chien Thang Rd, Hanoi, Vietnam
来源：
COMMUNICATIONS IN MATHEMATICS AND STATISTICS | 2023年
关键词：
Harmonic p-form; Vanishing theorem; Locally conformally flat Riemannian manifold; P-HARMONIC; 1-FORMS; WEIGHTED POINCARE INEQUALITY; FORMS; SUBMANIFOLDS; CURVATURE;
D O I：
10.1007/s40304-023-00372-4
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we show some vanishing theorems for harmonic p-forms on a locally conformally flat Riemannian manifold. In the concrete, provided that the integral of the traceless Ricci tensor has a suitable bound, we obtain a vanishing theorem for them without any scalar curvature conditions. Another theorem is also given under the condition on nonpositive scalar curvature, which improves and extends the ones previous.
引用
收藏
页数：12
相关论文
共 50 条
12345