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math.DG2018★ 1 cited
Locally homogeneous connections on principal bundles over hyperbolic Riemann surfaces
Arash Bazdar, Andrei Teleman
Let be locally homogeneous (LH) Riemannian metric on a differentiable compact manifold , and be a compact Lie group endowed with an -invariant inner produc…
math.DG2018
Infinitesimal isometries of connection metric and generalized moment map equation
Arash Bazdar
Let be a smooth Riemannian manifold, a compact Lie group and a principal -bundle over endowed with a connection . Fixing a bi invariant inner produ…
math.DG2018
The Ricci flow for circle bundles over surfaces
Arash Bazdar, Georgios Fotopoulos
In this work, we study and solve the normalized Ricci flow equation for circle bundles over surfaces. Moreover, we study the asymptotic behavior of the solutions and their connecti…