| Autore |
Ornea Liviu
|
| Edizione | [1st ed. 2024.] |
| Pubbl/distr/stampa |
Cham : , : Springer Nature Switzerland : , : Imprint : Birkhäuser, , 2024
|
| Descrizione fisica |
1 online resource (729 pages)
|
| Disciplina |
516.36
|
| Altri autori (Persone) |
Verbit︠s︡kiĭMisha <1969->
|
| Collana |
Progress in Mathematics
|
| Soggetto topico |
Geometry, Differential
Geometry, Algebraic
Functions of complex variables
Differential Geometry
Algebraic Geometry
Several Complex Variables and Analytic Spaces
|
| ISBN |
3-031-58120-2
|
| Formato |
Materiale a stampa  |
| Livello bibliografico |
Monografia |
| Lingua di pubblicazione |
eng
|
| Nota di contenuto |
Introduction -- Part I: Lectures in locally conformally Kähler geometry -- Kähler manifolds -- Connections in vector bundles and the Froebenius theorem -- Locally conformally Kahler manifolds -- Hodge theory on complex manifolds and Vaisman's theorem -- Holomorphic vector bundles -- CR, Contact and Sasakian manifolds -- Vaisman manifolds -- The structure of compact Vaisman manifolds -- Orbifolds -- Quasi-regular foliations -- Regular and quasi-regular Vaisman manifolds -- LCK manifolds with potential -- Embedding LCK manifolds with potential in Hopf manifolds -- Logarithms and algebraic cones -- Pseudoconvex shells and LCK metrics on Hopf manifolds -- Embedding theorem for Vaisman manifolds -- Non-linear Hopf manifolds -- Morse-Novikov and Bott-Chern cohomology of LCK manifolds -- Existence of positive potentials -- Holomorphic S^1 actions on LCK manifolds -- Sasakian submanifolds in algebraic cones -- Oeljeklaus-Toma manifolds -- Appendices -- Part II: Advanced LCK geometry -- Non-Kähler elliptic surfaces -- Kodaira classification for non-Kähler complex surfaces -- Cohomology of holomorphic bundles on Hopf manifolds -- Mall bundles and flat connections on Hopf manifolds -- Kuranishi and Teichmüller spaces for LCK manifolds with potential -- The set of Lee classes on LCK manifolds with potential -- Harmonic forms on Sasakian and Vaisman manifolds -- Dolbeault cohomology of LCK manifolds with potential -- Calabi-Yau theorem for Vaisman manifolds -- Holomorphic tensor fields on LCK manifolds with potential -- Part III: Topics in locally conformally Kähler geometry -- Twisted Hamiltonian actions and LCK reduction -- Elliptic curves on Vaisman manifolds -- Submersions and bimeromorphic maps of LCK manifolds -- Bott-Chern cohomology of LCK manifolds with potential -- Hopf surfaces in LCK manifolds with potential -- Riemannian geometry of LCK manifolds -- Einstein-Weyl manifolds and the Futaki invariant -- LCK structures on homogeneous manifolds -- LCK structures on nilmanifolds and solvmanifolds -- Explicit LCK metrics on Inoue surfaces -- More on Oeljeklaus-Toma manifolds -- Locally conformally parallel and non-parallel structures -- Open questions.
|
| Record Nr. | UNINA-9910855368703321 |
Info
Principles of Locally Conformally Kähler Geometry / / by Liviu Ornea, Misha Verbitsky
