Open AccessBiharmonic submanifolds in 3‐dimensional (κ, μ)‐manifolds
Author(s) -
Kadri Arslan,
Rıdvan Ezentaş,
Cengizhan Murathan,
Toru Sasahara
Publication year - 2005
Publication title -
international journal of mathematics and mathematical sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 39
eISSN - 1687-0425
pISSN - 0161-1712
DOI - 10.1155/ijmms.2005.3575
Subject(s) - biharmonic equation , mathematics , invariant (physics) , pure mathematics , legendre polynomials , harmonic map , mathematical analysis , mathematical physics , boundary value problem
Biharmonic maps between Riemannian manifolds are defined ascritical points of the bienergy and generalizedharmonic maps. In this paper, we give necessary and sufficientconditions for nonharmonic Legendre curves and anti-invariantsurfaces of 3-dimensional (κ,μ)-manifolds to bebiharmonic
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom