#### 42 Citations

Construction of constant scalar curvature Kähler cone metrics

- Mathematics
- 2017

Over a compact Kahler manifold, we provide a Fredholm alternative result for the Lichnerowicz operator associated to a Kahler metric with conic singularities along a divisor. We deduce several… Expand

Uniqueness of optimal symplectic connections

- Mathematics
- Forum of Mathematics, Sigma
- 2021

Abstract Consider a holomorphic submersion between compact Kähler manifolds, such that each fibre admits a constantscalar curvature Kähler metric. When the fibres admit continuous automorphisms, a… Expand

Extremal Kahler Metrics on Projectivized Vector Bundles

- Mathematics
- 2015

We prove the existence of extremal, nonconstant-scalar curvature, Kahler metrics on certain unstable projectivized vector bundles P(E) -> M over a compact constant scalar curvature Kahler manifold M… Expand

Geometric Analysis of the Vibration of Rubber Wiper
Blade

- Mathematics
- 2021

The purpose of this paper is to work out the theoretical aspects of the vibration problem of rubber wiper blade on convex windshield. Over the past 20 years, some 2-dimensional spring-mass models… Expand

Geometric Aspects of the Lame Equation and Plate Theory

- Mathematics, Physics
- 2020

Over the past few years, it is gradually understood that de Rham Cohomology Theory is closely related to Saint-Venant's compatibility condition in the Elasticity Theory. In this article, we will… Expand

Mathematical Formulae for the Vibration Frequencies of Rubber Wiper on Windshield

- Mathematics, Physics
- 2020

Automotive engineers want to reduce the noise generated by the vibrations of rubber wiper on the windshield of an automobile. To understand the vibrations of wiper noise, certain spring-mass models… Expand

The Hitchin-cscK system.

- Mathematics
- 2020

We present an infinite-dimensional hyperkahler reduction that extends the classical moment map picture of Fujiki and Donaldson for the scalar curvature of Kahler metrics. We base our approach on an… Expand

Extremal metrics on fibrations

- Mathematics
- Proceedings of the London Mathematical Society
- 2019

Consider a fibred compact K\"ahler manifold X endowed with a relatively ample line bundle, such that each fibre admits a constant scalar curvature K\"ahler metric and has discrete automorphism group.… Expand

Optimal Symplectic Connections on Holomorphic Submersions

- Mathematics
- 2019

The main result of this paper gives a new construction of extremal Kahler metrics on the total space of certain holomorphic submersions, giving a vast generalisation and unification of results of… Expand

Relative K-polystability of projective bundles over a curve

- Mathematics
- Transactions of the American Mathematical Society
- 2019

Let $P(E)$ be the projectivization of a holomorphic vector bundle $E$ over a compact complex curve $C$. We characterize the existence of an extremal K\"ahler metric on the ruled manifold $P(E)$ in… Expand

#### References

THE SEIBERG-WITTEN INVARIANTS AND SYMPLECTIC FORMS

- Mathematics
- 1994

(Note: There are no symplectic forms on X unless b and the first Betti number of X have opposite parity.) In a subsequent article with joint authors, a vanishing theorem will be proved for the… Expand