13 citations · 66 across the 43 of their papers we have counts for
44 papers
Ricci pinching on complete Kahler manifolds
Gang Liu, Lei Ni
We study Ricci pinching problem on complete Kähler manifolds. For complete noncompact manifolds with Euclidean volume growth, we prove flatness under nonnegative bisectional curvat…
Symplectic Dirac operators on homogeneous spaces
Dan Ciubotaru, Gang Liu, Salah Mehdi +1
We define symplectic Dirac operators on homogeneous spaces and study their representation-theoretic role. For an invariant polarization, the symplectic Dirac operator decomposes in…
Dirac cohomology and -correspondence for complex dual pairs
Spyridon Afentoulidis-Almpanis, Gang Liu, Salah Mehdi
We study the behavior of Dirac cohomology under Howe's -correspondence in the case of complex reductive dual pairs. More precisely, if is a complex reductive dual pa…
Improved Bohr inequality for harmonic mappings
Gang Liu, Saminathan Ponnusamy
Based on improving the classical Bohr inequality, we get in this paper some refined versions for a quasi-subordination family of functions, one of which is key to build our results…
A proof of Casselman's comparison theorem for standard minimal parabolic subalgebra
Ning Li, Gang Liu, Jun Yu
Let be a real linear reductive group and be a maximal compact subgroup. Let be a minimal parabolic subgroup of with complexified Lie algebra , and $\m…
Restriction of irreducible unitary representations of Spin(N,1) to parabolic subgroups
Gang Liu, Yoshiki Oshima, Jun Yu
In this paper, we obtain explicit branching laws for all irreducible unitary representations of $\Spin(N,1)$ restricted to a parabolic subgroup . The restriction turns out to be…