AbstractIt is known that certain self-dual connections are defined on quaternionic Kähler manifolds. A.D.H.M-vanishing theorem H1(P3, F(−2)) = 0 is generalized to anti-self-dual bundles on an arbitrary quaternionic Kähler manifolds with positive scalar curvature. The cohomology group is related to the solution space of quaternionic operators
AbstractPositive Quaternion Kähler Manifolds are Riemannian manifolds with holonomy contained in Sp(...
In this thesis, we consider geometric properties of vector bundlesarising from algebraic and Hermiti...
In this dissertation we study a conjecture attributed to Chern and Hopf, a generalization of Atiyah'...
AbstractIt is known that certain self-dual connections are defined on quaternionic Kähler manifolds....
Let M be a compact, irreducible, locally hermitian symmetric space of noncompact type. If M is not a...
The goal of this thesis is to illustrate the Generic Vanishing theorem (GVT), specifically the vers...
L'objet principal de cette thèse est de généraliser un certain nombre de résultats bien connus de la...
Consiglio Nazionale delle Ricerche (CNR). Biblioteca Centrale / CNR - Consiglio Nazionale delle Rich...
Abstract We show that compact Kähler manifolds have the rational cohomology ring of c...
A characterrization of self-dual coneections of homegeneous principal bundles over quaternionic Kaeh...
We prove that the GW theory of negative line bundles M = Tot(L→B) determines the symplectic cohomolo...
In this article we give a vanishing result for the cohomology groups Hp,q(X,Š E⊗ L), wher...
AbstractIn this paper we establish some Lp-estimates and existence theorems for the ∂¯-operator on a...
In this dissertation we study a conjecture attributed to Chern and Hopf, a generalization of Atiyah'...
Given a smooth simply connected 4-manifold M, we prove that if there is a smoothly embedded 2-torus ...
AbstractPositive Quaternion Kähler Manifolds are Riemannian manifolds with holonomy contained in Sp(...
In this thesis, we consider geometric properties of vector bundlesarising from algebraic and Hermiti...
In this dissertation we study a conjecture attributed to Chern and Hopf, a generalization of Atiyah'...
AbstractIt is known that certain self-dual connections are defined on quaternionic Kähler manifolds....
Let M be a compact, irreducible, locally hermitian symmetric space of noncompact type. If M is not a...
The goal of this thesis is to illustrate the Generic Vanishing theorem (GVT), specifically the vers...
L'objet principal de cette thèse est de généraliser un certain nombre de résultats bien connus de la...
Consiglio Nazionale delle Ricerche (CNR). Biblioteca Centrale / CNR - Consiglio Nazionale delle Rich...
Abstract We show that compact Kähler manifolds have the rational cohomology ring of c...
A characterrization of self-dual coneections of homegeneous principal bundles over quaternionic Kaeh...
We prove that the GW theory of negative line bundles M = Tot(L→B) determines the symplectic cohomolo...
In this article we give a vanishing result for the cohomology groups Hp,q(X,Š E⊗ L), wher...
AbstractIn this paper we establish some Lp-estimates and existence theorems for the ∂¯-operator on a...
In this dissertation we study a conjecture attributed to Chern and Hopf, a generalization of Atiyah'...
Given a smooth simply connected 4-manifold M, we prove that if there is a smoothly embedded 2-torus ...
AbstractPositive Quaternion Kähler Manifolds are Riemannian manifolds with holonomy contained in Sp(...
In this thesis, we consider geometric properties of vector bundlesarising from algebraic and Hermiti...
In this dissertation we study a conjecture attributed to Chern and Hopf, a generalization of Atiyah'...
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