Second order parallel tensor in real and complex space forms.
Seiberg-Witten Theory
We give an introduction into and exposition of Seiberg-Witten theory.
Selfdual Einstein hermitian four-manifolds
We provide a local classification of selfdual Einstein riemannian four-manifolds admitting a positively oriented hermitian structure and characterize those which carry a hyperhermitian, non-hyperkähler structure compatible with the negative orientation. We show that selfdual Einstein 4-manifolds obtained as quaternionic quotients of and are hermitian.
Selfdual spaces with complex structures, Einstein-Weyl geometry and geodesics
We study the Jones and Tod correspondence between selfdual conformal -manifolds with a conformal vector field and abelian monopoles on Einstein-Weyl -manifolds, and prove that invariant complex structures correspond to shear-free geodesic congruences. Such congruences exist in abundance and so provide a tool for constructing interesting selfdual geometries with symmetry, unifying the theories of scalar-flat Kähler metrics and hypercomplex structures with symmetry. We also show that in the presence...
Smooth, but not Complex-Analytic Pluripolar Sets.
Some Hermite Metrics in Complex Finsler Spaces
Some Hermite metrics in complex Finsler spaces.
Special Einstein’s equations on Kähler manifolds
This work is devoted to the study of Einstein equations with a special shape of the energy-momentum tensor. Our results continue Stepanov’s classification of Riemannian manifolds according to special properties of the energy-momentum tensor to Kähler manifolds. We show that in this case the number of classes reduces.
Spinorial solution associated to a radially symmetric radiation field in general relativity
Superminimal fibres in an almost Hermitian submersion
Se la varietà base, , di una submersione quasi-Hermitiana, , è una -varietà e le fibre sono subvarietà superminimali, allora lo spazio totale, , è . Se la varietà base, , è Hermitiana e le fibre sono subvarietà bidimensionali e superminimali, allora lo spazio totale, , è Hermitiano.
Surfaces in hermitian 3-spaces