| Introduction |
|
ix | |
|
|
|
1 | (6) |
|
2 Principally Important Properties |
|
|
7 | (14) |
|
2.1 Vaisman's conjectures |
|
|
7 | (3) |
|
|
|
10 | (1) |
|
|
|
11 | (4) |
|
|
|
15 | (1) |
|
2.5 An adapted cohomology |
|
|
16 | (5) |
|
|
|
21 | (12) |
|
|
|
21 | (2) |
|
|
|
23 | (2) |
|
3.3 A generalization of Thurston's manifold |
|
|
25 | (1) |
|
3.4 A four-dimensional solvmanifold |
|
|
26 | (2) |
|
|
|
28 | (1) |
|
|
|
28 | (1) |
|
3.7 Brieskorn & Van de Ven's manifolds |
|
|
29 | (4) |
|
4 Generalized Hopf manifolds |
|
|
33 | (8) |
|
5 Distributions on a g.H. manifold |
|
|
41 | (8) |
|
|
|
49 | (20) |
|
6.1 Regular Vaisman manifolds |
|
|
49 | (7) |
|
|
|
56 | (4) |
|
6.3 A spectral characterization |
|
|
60 | (6) |
|
|
|
66 | (3) |
|
7 Harmonic and holomorphic forms |
|
|
69 | (16) |
|
|
|
69 | (10) |
|
7.2 Holomorphic vector fields |
|
|
79 | (6) |
|
|
|
85 | (18) |
|
|
|
103 | (18) |
|
|
|
103 | (4) |
|
|
|
107 | (4) |
|
|
|
111 | (10) |
|
|
|
121 | (12) |
|
10.1 Submersions from CH^n |
|
|
121 | (3) |
|
|
|
124 | (4) |
|
10.2.1 An almost Hermitian submersion with total space S(2n-1)(c, k) x R, k Greater Than -3c(2) |
|
|
125 | (1) |
|
10.2.2 An almost Hermitian submersion with total space R(2n-1)(c) x R |
|
|
126 | (1) |
|
10.2.3 An almost Hermitian submersion with total space (R x B(n-1)(c, k) x R, k Less Than -3c(2) |
|
|
127 | (1) |
|
|
|
128 | (2) |
|
10.4 Total space a g.H. manifold |
|
|
130 | (3) |
|
11 L.c. hyperKahler manifolds |
|
|
133 | (14) |
|
|
|
147 | (40) |
|
|
|
147 | (6) |
|
12.2 Complex and CR submanifolds |
|
|
153 | (5) |
|
12.3 Anti-invariant submanifolds |
|
|
158 | (6) |
|
|
|
164 | (3) |
|
12.5 Distributions on submanifolds |
|
|
167 | (5) |
|
12.6 Totally umbilical submanifolds |
|
|
172 | (15) |
|
|
|
187 | (32) |
|
13.1 Curvature-invariant submanifolds |
|
|
187 | (7) |
|
13.2 Extrinsic and standard spheres |
|
|
194 | (8) |
|
13.3 Complete intersections |
|
|
202 | (10) |
|
13.4 Yano's integral formula |
|
|
212 | (7) |
|
|
|
219 | (20) |
|
14.1 Principal curvatures |
|
|
219 | (4) |
|
14.2 Quasi-Einstein hypersurfaces |
|
|
223 | (2) |
|
14.3 Homogeneous hypersurfaces |
|
|
225 | (1) |
|
|
|
226 | (6) |
|
14.5 L. c. cosymplectic metrics |
|
|
232 | (7) |
|
|
|
239 | (18) |
|
15.1 Quasi-Einstein submanifolds |
|
|
239 | (5) |
|
|
|
244 | (7) |
|
15.3 L.c.K. and Kahler submanifolds |
|
|
251 | (2) |
|
15.4 A Frankel type theorem |
|
|
253 | (2) |
|
15.5 Planar geodesic immersions |
|
|
255 | (2) |
|
|
|
257 | (18) |
|
|
|
257 | (3) |
|
16.2 The horizontal lifting technique |
|
|
260 | (7) |
|
|
|
267 | (8) |
|
|
|
275 | (24) |
|
17.1 Parallel IInd fundamental form |
|
|
275 | (2) |
|
|
|
277 | (1) |
|
|
|
278 | (5) |
|
17.4 Parallel f-structure P |
|
|
283 | (2) |
|
|
|
285 | (1) |
|
17.6 L. c. cosymplectic structures |
|
|
286 | (3) |
|
|
|
289 | (2) |
|
|
|
291 | (1) |
|
17.9 Submersed CR submanifolds |
|
|
292 | (7) |
|
A Boothby-Wang fibrations |
|
|
299 | (4) |
|
|
|
303 | (4) |
| Bibliography |
|
307 | |
