Harmonic conformal flows on manifolds of constant curvature

• Autorzy: Amine Fawaz
• Języki publikacji: EN

Abstrakty

EN

We compute the energy of conformal flows on Riemannian manifolds and we prove that conformal flows on manifolds of constant curvature are critical if and only if they are isometric.

Słowa kluczowe

EN

basic form; energy; foliation; geodesic curvature; harmonic; mean curvature; projectable vector field; symmetric functions; umbilical

Kategorie tematyczne

• 53C12: Foliations (differential geometric aspects)
• 53C15: General geometric structures on manifolds (almost complex, almost product structures, etc.)

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2007
• Tom: 5
• Numer: 3
• Strony: 493-504

Daty

wydano

2007-09-01

online

2007-09-01

Twórcy

autor

Amine Fawaz

• The University of Texas of the Permian Basin, 4901 East University

Bibliografia

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Identyfikatory

DOI

10.2478/s11533-007-0020-6