59 citations · 172 across the 27 of their papers we have counts for
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math.DG2013★ 8 cited
Deformations of constant scalar curvature Sasakian metrics and K-stability
Carl Tipler, Craig van Coevering
Extending the work of G. Székelyhidi and T. Brönnle to Sasakian manifolds we prove that a small deformation of the complex structure of the cone of a constant scalar curvature Sasa…
math.DG2013
Lower bounds on the modified K-energy and complex deformations
Andrew Clarke, Carl Tipler
Let (X,L) be a polarized Kähler manifold that admits an extremal Kähler metric in c1(L). We show that on a nearby polarized deformation that preserves the symmetry induced by the e…
math.DG2013★ 8 cited
Deformations of complex structures and the coupled Kähler-Yang-Mills equations
Mario Garcia-Fernandez, Carl Tipler
In this work we define a deformation theory for the Coupled Kähler-Yang-Mills equations in arXiv:1102.0991, generalizing work of Székelyhidi on constant scalar curvature Kähler met…