Zobrazeno 1 - 10
of 88
pro vyhledávání: '"Liviu Ornea"'
Autor:
Cornelia-Livia Bejan, Liviu Ornea
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 21, Iss 3, Pp 613-618 (1998)
The almost hyperbolic Hermitan manifolds introduced in [1] were classified for the first time in [2]. In this note we construct an example of an almost hyperbolic Hermitan manifold which belongs to a certain class that we study here.
Externí odkaz:
https://doaj.org/article/bb8d96a0ff604f07bfff30bd80476fe9
Autor:
Liviu Ornea, Misha Verbitsky
Publikováno v:
The Journal of Geometric Analysis. 33
A Hopf manifold is a quotient of $C^n\backslash 0$ by the cyclic group generated by a holomorphic contraction. Hopf manifolds are diffeomorphic to $S^1\times S^{2n-1}$ and hence do not admit Kahler metrics. It is known that Hopf manifolds defined by
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::34bb1b7d498d249ed177e63890e1f1b2
https://doi.org/10.1007/s12220-023-01273-2
https://doi.org/10.1007/s12220-023-01273-2
Autor:
Liviu Ornea, Misha Verbitsky
Publikováno v:
Mathematische Zeitschrift. 299:2287-2296
A compact complex manifold V is called Vaisman if it admits a Hermitian metric which is conformal to a Kahler one, and a non-isometric conformal action by $$\mathbb {C}$$ . It is called quasi-regular if the $$\mathbb {C}$$ -action has closed orbits.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3443a522416aa362d2fd88797808e206
https://doi.org/10.1007/s00209-021-02776-w
https://doi.org/10.1007/s00209-021-02776-w
Publikováno v:
Russian Mathematical Surveys. 76:261-289
We give a mostly self-contained proof of the classification of non-Kahler surfaces based on Buchdahl-Lamari theorem. We also prove that all non-Kahler surfaces which are not of class VII are locally conformally Kahler.
39 pages, v. 3.0, referenc
39 pages, v. 3.0, referenc
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0ee464c1908afc75e6102f7cc762f185
https://doi.org/10.1070/rm9858
https://doi.org/10.1070/rm9858
Publikováno v:
Uspekhi Matematicheskikh Nauk. 76:71-102
С позиций классификации Энриквеса-Кодаиры некэлеровы поверхности оказываются специальным случаем в рамках схемы Кодаиры. Мы доказывае
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::17a914c771386c05910afebe798d140d
https://doi.org/10.4213/rm9858
https://doi.org/10.4213/rm9858
Autor:
Misha Verbitsky, Liviu Ornea
Publikováno v:
Transformation Groups. 27:225-238
It is well known that the cohomology of any non-trivial 1-dimensional local system on a nilmanifold vanishes (this result, due to J. Dixmier, was also announced and proved in some particular case by Alaniya). A complex nilmanifold is a quotient of a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::030a6d98f6146624b853250be9abb33e
https://doi.org/10.1007/s00031-020-09601-4
https://doi.org/10.1007/s00031-020-09601-4
Autor:
Liviu Ornea, Vladimir Slesar
Publikováno v:
SSRN Electronic Journal.
We construct a type of transverse deformations of a Vaisman manifold, which preserves the canonical foliation. For this construction we only need a basic 1-form with certain properties. We show that such basic 1-forms exist in abundance.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::35768e9450bf25c30b4b0f0d9b5e4cec
https://doi.org/10.2139/ssrn.4152774
https://doi.org/10.2139/ssrn.4152774
Autor:
Misha Verbitsky, Liviu Ornea
Publikováno v:
Geometriae Dedicata. 207:219-226
An LCK manifold with potential is a compact quotient M of a Kahler manifold X equipped with a positive plurisubharmonic function f, such that the monodromy group acts on $X$ by holomorphic homotheties and maps f to a function proportional to f. It is
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f727f9e1222d30f3ace915bb87e45bce
https://doi.org/10.1007/s10711-019-00495-5
https://doi.org/10.1007/s10711-019-00495-5
Autor:
Alexandra Otiman, Liviu Ornea
Publikováno v:
Annali di Matematica Pura ed Applicata
We give an equivalent definition of compact locally conformally hyperk\"ahler manifolds in terms of the existence of a nondegenerate complex two-form with natural properties. This is a conformal analogue of Beauville's theorem stating that a compact
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cdff27c7877a18918874825e20485d82
https://doi.org/10.1007/s10231-019-00829-w
https://doi.org/10.1007/s10231-019-00829-w
Autor:
Liviu Ornea, Misha Verbitsky
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
