<i>L^pp</i>-Harmonic 1-Forms on <i>δ</i>-Stable Hypersurface in Space Form with Nonnegative Bi-Ricci Curvature  

作　　者：Bakry Musa Jiancheng Liu Bakry Musa;Jiancheng Liu(College of Mathematics and Statistics, Northwest Normal University, Lanzhou, China)

机构地区：[1]College of Mathematics and Statistics, Northwest Normal University, Lanzhou, China

出　　处：《Advances in Pure Mathematics》2021年第5期427-439,共13页理论数学进展（英文）

摘　　要：In this paper, we investigate the space of <em>L^p p</em>-harmonic 1-forms on a complete noncompact orientable <em>δ</em>-stable hypersurface <em>M^m</em> that is immersed in space form <img src="Edit_6fbc11b9-ac23-40e2-b045-0fb25419337d.png" width="35" height="23" alt="" /> with nonnegative BiRic curvature. We prove the nonexistence of <em>L^p p</em>-harmonic 1-forms on <em>M^m</em>. Moreover, we obtain some vanishing properties for this class of harmonic 1-forms.In this paper, we investigate the space of <em>L^p p</em>-harmonic 1-forms on a complete noncompact orientable <em>δ</em>-stable hypersurface <em>M^m</em> that is immersed in space form <img src="Edit_6fbc11b9-ac23-40e2-b045-0fb25419337d.png" width="35" height="23" alt="" /> with nonnegative BiRic curvature. We prove the nonexistence of <em>L^p p</em>-harmonic 1-forms on <em>M^m</em>. Moreover, we obtain some vanishing properties for this class of harmonic 1-forms.

关 键 词：L^p p-Harmonic 1-Forms δ-Stable Hypersurface BiRic Curvature Space Form 

分 类 号：O17[理学—数学]