Open AccessA Kähler Einstein structure on the tangent bundle of a space form
Author(s) -
Vasile Oproiu
Publication year - 2001
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/s0161171201002009
Subject(s) - mathematics , tangent bundle , sectional curvature , unit tangent bundle , normal bundle , curvature , section (typography) , mathematical analysis , ricci flat manifold , constant curvature , einstein , constant (computer programming) , bundle , manifold (fluid mechanics) , scalar curvature , pure mathematics , tangent space , geometry , mathematical physics , vector bundle , composite material , engineering , business , mechanical engineering , programming language , materials science , advertising , computer science
We obtain a Kähler Einstein structure on the tangent bundle ofa Riemannian manifold of constant negative curvature. Moreover, theholomorphic sectional curvature of this Kähler Einsteinstructure is constant. Similar results are obtained for a tubearound zero section in the tangent bundle, in the case of theRiemannian manifolds of constant positive curvature
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