Arash Bazdar

activity

20162020

most citedLocally homogeneous connections on principal bundles over hyperbolic Riemann surfaces

1 citations · 1 across the 3 of their papers we have counts for

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math.DG2020

Infinitesimal homogeneity and bundles

Arash Bazdar, Andrei Teleman

Let $Q \to M$ be a principal $G$ -bundle, and $B_{0}$ a connection on $Q$ . We introduce an infinitesimal homogeneity condition for sections in an associated vector bundle $Q \times_{G} V$ …

math.DG2018★ 1 cited

Locally homogeneous connections on principal bundles over hyperbolic Riemann surfaces

Arash Bazdar, Andrei Teleman

Let $g$ be locally homogeneous (LH) Riemannian metric on a differentiable compact manifold $M$ , and $K$ be a compact Lie group endowed with an $ad$ -invariant inner produc…

math.DG2018

Infinitesimal isometries of connection metric and generalized moment map equation

Arash Bazdar

Let $(M, g)$ be a smooth Riemannian manifold, $K$ a compact Lie group and $p : P \to M$ a principal $K$ -bundle over $M$ endowed with a connection $A$ . 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…

math.DG2016

Locally homogeneous triples. Extension theorems for parallel sections and parallel bundle isomorphisms

Arash Bazdar

Let $M$ be a differentiable manifold and $K$ a Lie group. A locally homogeneous triple with structure group $K$ on $M$ is a triple $(g, P \to p M, A)$ , where $p : P \to M$ i…