9783319024417
IR
EN-52362
انگلیسی
IR
Cohomological Aspects in Complex Non-K?nhler Geometr
[Book]
/ by Daniele Angella
Cham
: Springer International Publishing :Imprint: Springer,
, 2014.
XXV, 262 p. 7 illus., online resource.
(Lecture Notes in Mathematics,0075-8434
; 2095)
Electronic
In these notes, we provide a summary of recentresults on the cohomological properties of compact complex manifolds not endowed with a K?nhler structure. On the one hand, the large number of developed analytic techniques makes it possible to prove strong cohomological properties for compact K?nhler manifolds. On the other, in order to further investigate any of these properties, it is natural to look for manifolds that do not have any K?nhler structure. We focus in particular on studying Bott-Chern and Aeppli cohomologies of compact complex manifolds. Several results concerning the computations of Dolbeault and Bott-Chern cohomologies on nilmanifolds are summarized, allowing readers to study explicit examples. Manifolds endowed with almost-complex structures, or with other special structures (such as, for example, symplectic, generalized-complex, etc.), are also considered.
Preliminaries on (almost-) complex manifolds -- Cohomology of complex manifolds -- Cohomology of nilmanifolds -- Cohomology of almost-complex manifolds -- References.?╗╣
Lecture Notes in Mathematics,0075-8434
2095
Mathematics
Differential equations, partial
Global differential geometry
Electronic books
E-BOOK
Angella, Daniele.
SpringerLink (Online service)
ایران
9783319024400.pdf
عادی
عادی
9783319024400.pdf
متن
old catalog
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BL
1
a
Y
