3 papers
math.DG2025
Two families of reducible spherical conical metrics
Haoran Wu, Xuwen Zhu
We analyze a 1-parameter family of heart shape and a 3-parameter family obtained by gluing three footballs, both of which are examples of reducible spherical conical metrics. For t…
math.DG2025
A gluing construction of ALF gravitational instantons and existence of non-holomorphic minimal spheres
Xuwen Zhu
This note extends the construction of ALF gravitational instantons in Schroers--Singer to a new case where the nonlinear superposition is given by the Atiyah--Hitch…
math.DG2025
Tian--Yau metrics: Fredholm theory, Hodge cohomology and moduli spaces
Rafe Mazzeo, Xuwen Zhu
We study the natural geometric elliptic operators on a class of complete Riemannian manifolds which include the 4-dimensional ALH* gravitational instantons and their higher dimensi…