Curved versions of the Ovsienko-Redou operators

发布时间：2025-03-24 作者：浏览次数：

Speaker:	袁伟	DateTime:	2025年3月27日(周四) 下午 16:00-17:00
Brief Introduction to Speaker: 袁伟中山大学		Place:	国交2号楼315会议室
Abstract:In the study of conformal geometry, it is fundamental understand the conformal invariant operators involves in various of problems. For example, the well-known conformal Laplacian plays a key role in the study of Yamabe problem. Inspired by the construction of GJMS operators, we completely classify the tangential bidifferential operators on the ambient space and gives a curved analogue of the classification, due to Ovsienko–Redou and Clerc, of conformally invariant bidifferential operators on the sphere. This is a joint work with Jeffrey S. Case from Penn State University and Yueh-Ju Lin from Wichita State University.