Work

Analytic Foliation Divisorial Contraction on Sasakian Manifolds of Dimension Five

Year: 2026

Type: article

Abstract: Let $$(M,\eta ,\xi ,\Phi ,g)$$ ( M , η , ξ , Φ , g ) be a compact quasi-regular Sasakian 5 -manifold with finite cyclic quotient foliation singularities of type $$\frac{ 1}{r}(1,a).$$ 1 r ( 1 , a ) . First, we derive the foliation minimal model program by applying the resolution of cyclic quotient foliation singularities. Secondly, based on the study of local model of resolution of foliation singularities, we prove the foliation canonical surgical contraction or the foliation external ray contraction under the Sasaki-Ricci flow. As a consequence, we prove a Sasaki analogue of analytic minimal model program with the Kähler-Ricci flow due to Song-Tian and Song-Weinkove.

Source: Journal of Geometric Analysis

DOI: 10.1007/s12220-026-02489-8

Authors: Der-Chen Chang, Shu-Cheng Chang, Chien Lin, Chin-Tung Wu

Institutions: Georgetown University, Shanghai Institute for Mathematics and Interdisciplinary Sciences, National Taiwan Normal University, National Pingtung University

Language: English

Topic: Geometry and complex manifolds

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,290