Abstract
In this paper, we study harmonic maps relative to α-connections, but not necessarily relative to Levi-Civita connections, on Hessian domains. In particular, we describe the conditions for harmonicity of maps between level surfaces of a Hessian domain with parameters α and the dimension n. To illustrate the theory, we describe harmonic maps between the level surfaces of convex cones.
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Uohashi, K. (2013). Harmonic Maps Relative to α-Connections on Hessian Domains. In: Nielsen, F., Barbaresco, F. (eds) Geometric Science of Information. GSI 2013. Lecture Notes in Computer Science, vol 8085. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-40020-9_83
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DOI: https://doi.org/10.1007/978-3-642-40020-9_83
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-40019-3
Online ISBN: 978-3-642-40020-9
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