Dipartimento di matematica, universita di pisa, via buonarroti 2, 56127 pisa, italy. Dg 18 may 2003 structure theorem for vaisman manifolds l. Lck rank of locally conformally kahler manifolds with. An example of an almost hyperbolic hermitian manifold. August 2003, in the framework of the program momentum maps and poisson geometry and by institute bernoulli, epfl, in july 2004, during the program geometric mechanics and its applications. An immersion theorem for vaisman manifolds springerlink. Aix,y on the contact distribution here i is the standard complex structure of cn. Ellipsoidal billiards in pseudoeuclidean spaces and relativistic quadrics. Zigu ornea was the father of mathematician and essayist liviu ornea. The proofsare m ainly sketched,som e ofthem are even om itted. Properties of the logical reloading in the euclidean geometry are considered. Automorphisms of locally conformally kahler manifolds.
Misha verbitsky is an epsrc advanced fellow supported by crdf grant rm12354mo02 and epsrc grant grr7777301. A locally conformally kahler lck manifold is a complex manifold admitting a kahler covering m, such that its monodromy acts on this covering by homotheties. Buy this book ebook 74,89 price for spain gross buy ebook isbn 9781461220268. Ra is normal to the contact distribution and has unit length. Liviu ornea was partially supported by esi wien during. Liviu ornea and victor vuletescu to the memory of professor mirceaeugen craioveanu 19422012 abstract. Semantic scholar profile for ornea liviu, with 1 highly influential citations and 2 scientific research papers. If you have additional information or corrections regarding this mathematician, please use the update form. This paper is based on a talk given at the 14th international workshop on differential geometry and its applications, hosted by the petroleum gas university from ploiesti, between july 9th and july 11th, 2019.
It is called the bottchern cohomology group of an lck manifold for more details, see 10. Dipartimento di matematica, universita di pisa, via buonarroti 2, 56127 pisa. Portions of content provided by tivo corporation 2021 tivo corporation whats new. Sep 20, 2014 instant access to the full article pdf. Pdf topology of locally conformally kahler manifolds with. Zigu ornea was a romanian cultural historian, literary critic, biographer and book publisher. Locally conformal k ahler structures in quaternionic geometry. We present an overview of recent results in locally conformally k\ahler geometry, with focus on the topological properties which obstruct the existence of. Liviu ornea university of bucharest submitted on 5 may 2001 abstract. Citeseerx document details isaac councill, lee giles, pradeep teregowda. An icon used to represent a menu that can be toggled by interacting with this icon. We prove that any compact homogeneous locally conformally kahler manifold has parallel lee form. Liviu ornea, misha verbitsky, victor vuletescu download pdf. Locally conformally kaehler manifolds with large symmetry.
In this paper we find sufficient conditions for the vanishing of the morsenovikov cohomology on riemannian foliations. Earn free access learn more upload documents refer your friends earn money. The almost hyperbolic hermitan manifolds introduced in 1 were classified for the first time in 2. Particular attention is given to two cases of ambient space. O introducere aon geometrie liviu ornea, adriana turtoi. Torino, volume in memory of sergio console 74, 267288 2016. Compact homogeneous lck manifolds are vaisman springerlink. A contact manifold m can be defined as a quotient of a symplectic manifold x by a proper, free action of r, with the symplectic form homogeneous of degree 2. Also, we generalize for our setting vanishing results from the case of closed riemannian manifolds. Vitro activity of miltefosine and voriconazole on clinical isolates of free. Clifford systems in octonionic geometry, with maurizio parton and paolo piccinni rend. The quotient of this cone by the homothety action is a complex manifold called vaisman. Locally conformally kahler manifolds with holomorphic lee field pdf with andrei moroianu and liviu ornea, differential geom.
Liviu ornea o introducere in geometria diferentiala introducere multumiri. We study harmonic forms and hodge decomposition on vaisman and sasakian manifolds. The author of several monographs focusing on the evolution of romanian culture in general and romanian literature in particular, he chronicled the debates and meeting. Verbitsky topology of lckmanifolds the universal cover of a vaisman manifold can be precisely described. Structure theorem for compact vaisman manifolds arxiv. A characterization of compact locally conformally hyperkaehler manifolds with alexandra otiman. Pdf basic morsenovikov cohomology for foliations liviu. Flat affine subvarieties in oeljeklaustoma manifolds.
Institute of mathematics simion stoilow of the romanian academy, 21, calea grivitei str. In this note we construct an example of an almost hyperbolic hermitan manifold which belongs to a certain class that we study here. Flat affine subvarieties in oeljeklaustoma manifolds with misha verbitsky and victor vuletescu. This is a survey on quaternion hermitian weyl locally conformally quaternion k\ahler and hyperhermitian weyl locally conformally hyperk\ahler manifolds. Pdf holomorphic maps between generalized complex manifolds. After presenting some historical facts, we will consider some geometry problems related to unification approaches.
All content in this area was uploaded by liviu ornea on dec 30, 20. Vitro activity of miltefosine and voriconazole on clinical isolates. Liviu ornea personal data born in bucharest, romania, july, 14th, 1960. We study invariant and antiinvariant submanifolds in a manifold endowed with a mixed 3structure and a compatible semiriemannian metric. They appear naturally on lightlike hypersurfaces of almost paraquaternionic hermitian manifolds. Several examples are presented, along with applications in the. Algebraic geometry authorstitles aug 2011 75 skipped.
A sasakian manifold is realized naturally as a level set of a kahler potential on a complex manifold, hence it is equipped with a. According to our current online database, liviu ornea has 4 students and 4 descendants. Ipresentaselection ofresultson locally conform ally kahlergeom etry published after1997. Liviu ornea misha verbitsky a locally conformally kahler lck manifold is a complex manifold admitting a kahler covering, with the monodromy acting on this covering by holomorphic homotheties. Both authors acknowledge financial support from ecole polytechnique palaiseau. A lck manifold with parallel lee form is called vaisman.
Doctor in matematica cu lucrarea structuri geometrice pe varietati complexe. The logical reloading is a logical operation which replaces one system of basic concepts of a conception by another. Sasakian structures on crmanifolds geometriae dedicata. Weighted bottchern and dolbeault cohomology for lckmanifolds with potential, with liviu ornea and misha verbitsky j. Liviu ornea is member of edge, research training network hrpnct200000101, supported by the european human potential programme. Mixed 3structures are odddimensional analogues of paraquaternionic structures. Paul gauduchon, andrei moroianu, liviu ornea download pdf abstract. Embeddings of compact sasakian manifolds liviu ornea. Submanifolds in manifolds with metric mixed 3structures. If x is also kahler, and its metric is homogeneous of degree 2, m is called sasakian.
Immediate ebook download after purchase and usable on all devices. Locally conformally kahler metrics obtained from pseudoconvex. The proofs are mainly sketched, some of them are even omitted. Also, we generalize for our setting vanishing results from the. Locally conformal kahler geometry sorin dragomir springer. Education 19801984 university of bucharest, faculty of mathematics. On the occasion of liviu ornea s 60th birthday zoom, july 16, 2020 andrei moroianu, cnrs univ. Oct 03, 2019 sasakian manifolds are odddimensional counterpart to kahler manifolds. Pdf on jordan algebras and some unification results. A restriction theorem for torsionfree sheaves on some elliptic manifolds. Weighted bottchern and dolbeault cohomology for lckmanifolds with potential authors. A simple characteristic free proof of the brillnoether theorem authors. Liviu ornea curriculum vitae personal data born in bucharest, romania, july, 14th, 1960. Vaisman, 9, who asked whether there exists a compact, nonk.
Liviu ornea curriculum vitae personal data born in. Verbitsky morsenovikov cohomology of lck manifolds morsenovikov cohomology of locally conformally k. Please join the simons foundation and our generous member organizations in supporting arxiv during our giving campaign september 2327. O introducere in geometrie an introduction in geometry. They can be defined as contact manifolds equipped with an invariant kahler structure on their symplectic cone. We work out a bochner technique for twisted cohomological complexes, obtaining corresponding vanishing results. It is independent from the choice of the covering m remark 1. Jordan algebras and lie algebras are the main nonassociative. Associated with lower stage and longer diseasefree survival in oral cavity. Doctorate 1992 doctor in mathematics at the university of bucharest cu the thesis geometrical. The ot manifolds in dimension 3 are the only known examples of compact lckmanifolds with even odd betti numbers, b1 b5 2,b3 0. Pdf locally conformally kaehler manifolds with potential. Algebraic geometry authorstitles apr 2015 20 skipped.
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