@article {2011,
title = {Holomorphic Cartan geometry on manifolds with numerically effective tangent bundle},
journal = {Differential Geometry and its Applications 29 (2011) 147-153},
number = {SISSA;05/2010/FM},
year = {2011},
publisher = {Elsevier},
doi = {10.1016/j.difgeo.2011.02.001},
url = {http://hdl.handle.net/1963/3830},
author = {Indranil Biswas and Ugo Bruzzo}
}
@article {2010,
title = {On semistable principal bundles over complex projective manifolds, II},
journal = {Geom. Dedicata 146 (2010) 27-41},
number = {SISSA;85/2008/FM},
year = {2010},
abstract = {Let (X, \\\\omega) be a compact connected Kaehler manifold of complex dimension d and E_G a holomorphic principal G-bundle on X, where G is a connected reductive linear algebraic group defined over C. Let Z (G) denote the center of G. We prove that the following three statements are equivalent: (1) There is a parabolic subgroup P of G and a holomorphic reduction of the structure group of E_G to P (say, E_P) such that the bundle obtained by extending the structure group of E_P to L(P)/Z(G) (where L(P) is the Levi quotient of P) admits a flat connection; (2) The adjoint vector bundle ad(E_G) is numerically flat; (3) The principal G-bundle E_G is pseudostable, and the degree of the charateristic class c_2(ad(E_G) is zero.},
doi = {10.1007/s10711-009-9424-8},
url = {http://hdl.handle.net/1963/3404},
author = {Indranil Biswas and Ugo Bruzzo}
}
@article {2008,
title = {On semistable principal bundles over a complex projective manifold},
journal = {Int. Math. Res. Not. vol. 2008, article ID rnn035},
number = {arXiv.org;0803.4042v1},
year = {2008},
publisher = {Oxford University Press},
abstract = {Let G be a simple linear algebraic group defined over the complex numbers. Fix a proper parabolic subgroup P of G and a nontrivial antidominant character \\\\chi of P. We prove that a holomorphic principal G-bundle E over a connected complex projective manifold M is semistable and the second Chern class of its adjoint bundle vanishes in rational cohomology if and only if the line bundle over E/P defined by \\\\chi is numerically effective. Similar results remain valid for principal bundles with a reductive linear algebraic group as the structure group. These generalize an earlier work of Y. Miyaoka where he gave a characterization of semistable vector bundles over a smooth projective curve. Using these characterizations one can also produce similar criteria for the semistability of parabolic principal bundles over a compact Riemann surface.},
doi = {10.1093/imrn/rnn035},
url = {http://hdl.handle.net/1963/3418},
author = {Indranil Biswas and Ugo Bruzzo}
}