4 papers
Arnoldi-Enhanced Multivariate Hermite Interpolation of Manifold-Valued Data
Yuxuan Li, Qiang Niu, Wubin Zhou
This paper integrates the multivariate Arnoldi process into tangent space Hermite interpolation for manifold-valued data. A G-Arnoldi recurrence constructs a discrete orthogonal po…
The Adams differentials on the -family
Runji Li, Yuxuan Li
The New Doomsday Conjecture (Minami, Amer. J. Math., 1995) states that, for any nonzero -family, only finitely many terms in this family survive to the -pa…
The prescribed Gauduchon scalar curvature problem in almost Hermitian geometry
Yuxuan Li, Wubin Zhou, Xianchao Zhou
In this paper we consider the prescribed Gauduchon scalar curvature problem on almost Hermitian manifolds. By deducing the expression of the Gauduchon scalar curvature under the co…
A semilinear partial differential equation induced by Hermitian Yang-Mills metrics
Yuxuan Li, Wubin Zhou
This paper will discuss a class of semilinear partial differential equations induced by studying the limiting behaviour of Hermitian Yang-Mills metrics. We will study the radial sy…