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An extension of a result of H. Hopf to Kaehler submanifolds of R{sup n}

Abstract

In the early fifties, H. Hopf proved that a constant mean curvature surface, homeomorphic to a sphere, immersed in Euclidean 3-space is a round sphere. Here, Hopf`s result is generalized to higher dimensional Kaehler immersed submanifolds of R{sup n} under certain assumptions. 9 refs.
Publication Date:
Jan 01, 1993
Product Type:
Technical Report
Report Number:
IC-93/21
Reference Number:
SCA: 661100; PA: AIX-24:036515; SN: 93000977294
Resource Relation:
Other Information: PBD: Jan 1993
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; MATHEMATICAL MANIFOLDS; TOPOLOGICAL MAPPING; MATHEMATICAL OPERATORS; METRICS; RIEMANN SPACE; 661100; CLASSICAL AND QUANTUM MECHANICS
OSTI ID:
10144732
Research Organizations:
International Centre for Theoretical Physics (ICTP), Trieste (Italy)
Country of Origin:
IAEA
Language:
English
Other Identifying Numbers:
Other: ON: DE93622854; TRN: XA9333708036515
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
INIS
Size:
[6] p.
Announcement Date:
Jul 05, 2005

Citation Formats

Ferreira, M J, Rigoli, M, and Tribuzy, R. An extension of a result of H. Hopf to Kaehler submanifolds of R{sup n}. IAEA: N. p., 1993. Web.
Ferreira, M J, Rigoli, M, & Tribuzy, R. An extension of a result of H. Hopf to Kaehler submanifolds of R{sup n}. IAEA.
Ferreira, M J, Rigoli, M, and Tribuzy, R. 1993. "An extension of a result of H. Hopf to Kaehler submanifolds of R{sup n}." IAEA.
@misc{etde_10144732,
title = {An extension of a result of H. Hopf to Kaehler submanifolds of R{sup n}}
author = {Ferreira, M J, Rigoli, M, and Tribuzy, R}
abstractNote = {In the early fifties, H. Hopf proved that a constant mean curvature surface, homeomorphic to a sphere, immersed in Euclidean 3-space is a round sphere. Here, Hopf`s result is generalized to higher dimensional Kaehler immersed submanifolds of R{sup n} under certain assumptions. 9 refs.}
place = {IAEA}
year = {1993}
month = {Jan}
}