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Journal of the Ramanujan Mathematical Society

Volume 32, Issue 1, March 2017  pp. 17–42.

Remarks on the metric induced by the Robin function III

Authors:  Diganta Borah
Author institution:Indian Institute of Science Education and Research, Pune~411~008, India

Summary:  Let D be a smoothly bounded pseudoconvex domain in Cn, n > 1. Using the Robin function Λ(p) that arises from the Green function G(z, p) for D with pole at p ∈ D associated with the standard sum-of-squares Laplacian, N. Levenberg and H. Yamaguchi had constructed a Kähler metric (the so-called Λ-metric) on D. In this article, we study the existence of geodesic spirals for this metric.

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