# 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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