Conformal vector fields with respect to the Sasaki metric tensor field

Download

index.pdf

Date

2005

Author

Şimşir, Fatma Muazzez

Metadata

Show full item record

Item Usage Stats

162
views

78
downloads

On the tangent bundle of a Riemannian manifold the most natural choice of metric tensor field is the Sasaki metric. This immediately brings up the question of infinitesimal symmetries associated with the inherent geometry of the tangent bundle arising from the Sasaki metric. The elucidation of the form and the classification of the Killing vector fields have already been effected by the Japanese school of Riemannian geometry in the sixties. In this thesis we shall take up the conformal vector fields of the Sasaki metric with the help of relatively advanced techniques.

Subject Keywords

Geometry.

URI

http://etd.lib.metu.edu.tr/upload/12605857/index.pdf
https://hdl.handle.net/11511/15041

Collections

Graduate School of Natural and Applied Sciences, Thesis

Suggestions

OpenMETU
Core

ON GENERALIZED LOCAL SYMMETRIES OF THE SO(2,1) INVARIANT NONLINEAR SIGMA-MODEL BASKAL, S; ERIS, A; SATIR, A (1994-12-19) The symmetries and associated conservation laws of the SO(2,1) invariant non-linear sigma model equations in 1+1 dimensions are investigated. An infinite family of generalized local symmetries is presented and the uniqueness of these solutions is discussed.
Some finite-dimensional backward shift-invariant subspaces in the ball and a related factorization problem Alpay, D; Kaptanoglu, HT (2000-12-15) Beurling's theorem characterizes subspaces of the Hardy space invariant under the forward-shift operator in terms of inner functions. In this Note we consider the case where the ball replaces the open unit desk and the reproducing kernel Hilbert space with reproducing kernel 1/(1-Sigma (N)(1) a(j)w(j)*) replaces the Hardy space. We give explicit formulas which generalize Blaschke products in the case of spaces of finite codimension. (C) 2000 Academie des sciences/Editions scientifiques et medicales Elsevier...
Equivariant cross sections of complex Stiefel manifolds Onder, T (Elsevier BV, 2001-01-16) Let G be a finite group and let M be a unitary representation space of G. A solution to the existence problem of G-equivariant cross sections of the complex Stiefel manifold W-k(M) of unitary k-frames over the unit sphere S(M) is given under mild restrictions on G and on fixed point sets. In the case G is an even ordered group, some sufficient conditions for the existence of G-equivariant real frame fields on spheres with complementary G-equivariant complex structures are also obtained, improving earlier re...
A NOTE ON TRIANGULAR OPERATORS ON SMOOTH SEQUENCE SPACES Uyanik, Elif; Yurdakul, Murat Hayrettin (2019-06-01) For a scalar sequence (theta(n))(n is an element of N), let C be the matrix defined by c(n)(k) = theta(n-k+1) if n >= k, c(n)(k) = 0 if n < k. The map between Kothe spaces lambda(A) and lambda(B) is called a Cauchy Product map if it is determined by the triangular matrix C. In this note we introduced some necessary and sufficient conditions for a Cauchy Product map on a nuclear Kothe space lambda(A) to nuclear G(1) - space lambda(B) to be linear and continuous. Its transpose is also considered.
Singularity versus splitting theorems for stably causal spacetimes GarciaRio, E; Kupeli, DN (Springer Science and Business Media LLC, 1996-08-01) Splitting theorems for stable causal spacetimes admitting certain metric related reference frames are obtained in connection to timelike geodesic incompletenes.

Citation Formats

F. M. Şimşir, “Conformal vector fields with respect to the Sasaki metric tensor field,” Ph.D. - Doctoral Program, Middle East Technical University, 2005.