26 citations · 111 across the 36 of their papers we have counts for
6 papers · 1 filter
The enhanced common index jump theorem for symplectic paths and non-hyperbolic closed geodesics on Finsler manifolds
Huagui Duan, Yiming Long, Wei Wang
In this paper, we first generalize the common index jump theorem for symplectic matrix paths proved in 2002 by Long and Zhu in [LoZ], and get an enhanced version of it. As its appl…
On Conformal Qc Geometry, Spherical Qc Manifolds and Convex Cocompact Subgroups of
Yun Shi, Wei Wang
Conformal qc geometry of spherical qc manifolds are investigated. We construct the qc Yamabe operators on qc manifolds, which are covariant under the conformal qc transformations.…
On the Hodge-type decomposition and cohomolgy groups of -Cauchy-Fueter complexes over domains in the quaternionic space
Der-Chen Chang, Irina Markina, Wei Wang
The -Cauchy-Fueter operator on one dimensional quaternionic space is the Euclidean version of helicity massless field operator on the Min…
On the -representations of groups and the -categorical Traces
Wei Wang
To -categorify the theory of group representations, we introduce the notions of the -representation of a group in a strict -category and the strict -categorical action…
On the Yamabe Problem on contact Riemannian Manifolds
Feifan Wu, Wei Wang
Contact Riemannian manifolds, whose complex structures are not necessarily integrable, are generalization of pseudohermitian manifolds in CR geometry. The Tanaka-Webster-Tanno conn…
The Bochner-Type Formula and The First Eigenvalue of the sub-Laplacian on a Contact Riemannian Manifold
Feifan Wu, Wei Wang
Contact Riemannian manifolds, with not necessarily integrable complex structures, are the generalization of pseudohermitian manifolds in CR geometry. The Tanaka-Webster-Tanno conne…