✍ Scribed by Sorin Dragomir, Liviu Ornea (auth.)
No coin nor oath required. For personal study only.
. E C, 0 < 1>'1 < 1, and n E Z, n ~ 2. Let~.>. be the O-dimensional Lie n group generated by the transformation z ~ >.z, z E C - {a}. Then (cf.
Front Matter....Pages i-xiii
L.c.K. Manifolds....Pages 1-5
Principally Important Properties....Pages 7-19
Examples....Pages 21-31
Generalized Hopf manifolds....Pages 33-40
Distributions on a g.H. manifold....Pages 41-47
Structure theorems....Pages 49-67
Harmonic and holomorphic forms....Pages 69-83
Hermitian surfaces....Pages 85-102
Holomorphic maps....Pages 103-120
L.c.K. submersions....Pages 121-132
L.c. hyperKähler manifolds....Pages 133-145
Submanifolds....Pages 147-186
Extrinsic spheres....Pages 187-217
Real hypersurfaces....Pages 219-237
Complex submanifolds....Pages 239-255
Integral formulae....Pages 257-274
Miscellanea....Pages 275-298
Back Matter....Pages 299-330
Differential Geometry; Geometry
📜 SIMILAR VOLUMES
<p>. E C, 0 < 1>'1 < 1, and n E Z, n ~ 2. Let~.>. be the O-dimensional Lie n group generated by the transformation z ~ >.z, z E C - {a}. Then (cf.</p>
<p><span>This monograph introduces readers to locally conformally Kähler (LCK) geometry and provides an extensive overview of the most current results. A rapidly developing area in complex geometry dealing with non-Kähler manifolds, LCK geometry has strong links to many other areas of mathematics, i
This monograph covers topics in complex geometry, written by two experts in this field.
Covers topics in complex geometry, focusing on the locally conformal Kahler(l.c.K.) theory. Explores the interrelation between l.c.K metrics and Sasakian metrics, f-structures, Chen's class and geodesic symmetries. DLC: Kahlerin manifolds.