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Liouville theorem for exponentially harmonic function on Riemannian manifolds

Abstract

Suppose that M is a complete Riemannian manifold with nonnegative sectional curvature. We prove that any bounded exponentially harmonic function on M is a constant function. (author). 7 refs.
Authors:
Publication Date:
Sep 01, 1991
Product Type:
Technical Report
Report Number:
IC-91/270
Reference Number:
SCA: 661300; PA: AIX-23:015355; SN: 92000647072
Resource Relation:
Other Information: PBD: Sep 1991
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; LIOUVILLE THEOREM; FUNCTIONS; MATHEMATICAL MANIFOLDS; RIEMANN SPACE; 661300; OTHER ASPECTS OF PHYSICAL SCIENCE
OSTI ID:
10113344
Research Organizations:
International Centre for Theoretical Physics (ICTP), Trieste (Italy)
Country of Origin:
IAEA
Language:
English
Other Identifying Numbers:
Other: ON: DE92615235; TRN: XA9130264015355
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
INIS
Size:
8 p.
Announcement Date:
Jun 30, 2005

Citation Formats

Minchun, Hong. Liouville theorem for exponentially harmonic function on Riemannian manifolds. IAEA: N. p., 1991. Web.
Minchun, Hong. Liouville theorem for exponentially harmonic function on Riemannian manifolds. IAEA.
Minchun, Hong. 1991. "Liouville theorem for exponentially harmonic function on Riemannian manifolds." IAEA.
@misc{etde_10113344,
title = {Liouville theorem for exponentially harmonic function on Riemannian manifolds}
author = {Minchun, Hong}
abstractNote = {Suppose that M is a complete Riemannian manifold with nonnegative sectional curvature. We prove that any bounded exponentially harmonic function on M is a constant function. (author). 7 refs.}
place = {IAEA}
year = {1991}
month = {Sep}
}