Harmonic characteristic vector fields on contact metric three-manifolds
نویسندگان
چکیده
منابع مشابه
On Contact Metric R-Harmonic Manifolds
In this paper we consider contact metric R-harmonic manifolds M with ξ belonging to (κ, μ)-nullity distribution. In this context we have κ ≤ 1. If κ < 1, then M is either locally isometric to the product E × S(4), or locally isometric to E(2) (the group of the rigid motions of the Euclidean 2-space). If κ = 1, then M is an Einstein-Sasakian manifold. Mathematics Subject Classification: 53C05, 5...
متن کاملHarmonic-Killing vector fields on Kähler manifolds
In a previous paper we have considered the harmonicity of local infinitesimal transformations associated to a vector field on a (pseudo)-Riemannian manifold to characterise intrinsi-cally a class of vector fields that we have called harmonic-Killing vector fields. In this paper we extend this study to other properties, such as the pluriharmonicity and the α-pluriharmonicity (α harmonic 2-form) ...
متن کاملVector Fields on Manifolds
where n = dim M and 6» = ith Betti number of M ( = dim of Hi(M; Q)). Thus the geometric property of M having a nonzero vector field is expressed in terms of the algebraic invariant xM. We will discuss extensions of this idea to vector ^-fields, fields of ^-planes, and foliations of manifolds. All manifolds considered will be connected, smooth and without boundary; all maps will be continuous. F...
متن کاملTorseforming Vector fields in a 3-dimensional Contact Metric Manifold
The object of the present paper is to study torseforming vector field in a 3-dimensional contact metric manifold with Qφ = φQ. Here we prove that the torseforming vector field in a 3-dimensional contact metric manifold with Qφ = φQ is a concircular vector field. 2000 Mathematics Subject Classification: 53D15, 53C25.
متن کاملHarmonic fields on mixed Riemannian-Lorentzian manifolds
The extended projective disc is Riemannian at ordinary points, Lorentzian at ideal points, and singular on the absolute. Harmonic fields on this metric can be interpreted as the hodograph image of extremal surfaces in Minkowski 3-space. This suggests an approach to generalized Plateau problems in 3-dimensional space-time via Hodge theory on the extended projective disc. Boundary-value problems ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Bulletin of the Australian Mathematical Society
سال: 2003
ISSN: 0004-9727,1755-1633
DOI: 10.1017/s0004972700033773