Please use this identifier to cite or link to this item:
Type: Artigo de periódico
Title: Product Of Harmonic Maps Is Harmonic: A Stochastic Approach
Author: Catuogno P.J.
Ruffino P.R.C.
Abstract: Let φj : Mj → G, j = 1, 2, . . . , n, be harmonic mappings from Riemannian manifolds Mj to a Lie group G. Then the product φ1φj2 . . . φn is a harmonic mapping between M1 × M2 × ⋯ × Mn and G. The proof is a combination of properties of Brownian motion in manifolds and Itô formulae for stochastic exponential and logarithm of product of semimartingales in Lie groups. © 2007 Springer-Verlag Berlin Heidelberg.
Rights: fechado
Identifier DOI: 10.1007/978-3-540-71189-6_10
Date Issue: 2007
Appears in Collections:Unicamp - Artigos e Outros Documentos

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