Ornea, Liviu; Verbitsky, Misha; Vuletescu, Victor Do products of compact complex manifolds admit LCK metrics? (English) Zbl 07813487 Bull. Lond. Math. Soc. 56, No. 2, 756-766 (2024). MSC: 32J27 53C55 PDFBibTeX XMLCite \textit{L. Ornea} et al., Bull. Lond. Math. Soc. 56, No. 2, 756--766 (2024; Zbl 07813487) Full Text: DOI arXiv
Ornea, Liviu; Verbitsky, Misha Algebraic cones of LCK manifolds with potential. (English) Zbl 07812423 J. Geom. Phys. 198, Article ID 105103, 14 p. (2024). MSC: 32Q40 14N99 32Q28 53C55 PDFBibTeX XMLCite \textit{L. Ornea} and \textit{M. Verbitsky}, J. Geom. Phys. 198, Article ID 105103, 14 p. (2024; Zbl 07812423) Full Text: DOI arXiv
Ornea, Liviu; Verbitsky, Misha Bimeromorphic geometry of LCK manifolds. (English) Zbl 07783141 Proc. Am. Math. Soc. 152, No. 2, 701-707 (2024). MSC: 32H04 53C55 PDFBibTeX XMLCite \textit{L. Ornea} and \textit{M. Verbitsky}, Proc. Am. Math. Soc. 152, No. 2, 701--707 (2024; Zbl 07783141) Full Text: DOI arXiv
Ornea, Liviu; Verbitsky, Misha Non-linear Hopf manifolds are locally conformally Kähler. (English) Zbl 1523.32045 J. Geom. Anal. 33, No. 7, Paper No. 201, 10 p. (2023). Reviewer: Jonas Stelzig (München) MSC: 32Q28 32Q15 32Q40 PDFBibTeX XMLCite \textit{L. Ornea} and \textit{M. Verbitsky}, J. Geom. Anal. 33, No. 7, Paper No. 201, 10 p. (2023; Zbl 1523.32045) Full Text: DOI arXiv
Ornea, Liviu; Verbitsky, Misha Supersymmetry and Hodge theory on Sasakian and Vaisman manifolds. (English) Zbl 1512.53068 Manuscr. Math. 170, No. 3-4, 629-658 (2023). MSC: 53C55 53C25 17B60 58A12 PDFBibTeX XMLCite \textit{L. Ornea} and \textit{M. Verbitsky}, Manuscr. Math. 170, No. 3--4, 629--658 (2023; Zbl 1512.53068) Full Text: DOI arXiv
Ornea, Liviu; Verbitsky, Misha Holomorphic tensors on Vaisman manifolds. arXiv:2301.01077 Preprint, arXiv:2301.01077 [math.AG] (2023). MSC: 53C55 32G05 BibTeX Cite \textit{L. Ornea} and \textit{M. Verbitsky}, ``Holomorphic tensors on Vaisman manifolds'', Preprint, arXiv:2301.01077 [math.AG] (2023) Full Text: arXiv OA License
Ornea, Liviu; Verbitsky, Misha Compact homogeneous locally conformally Kähler manifolds are Vaisman. A new proof. (English) Zbl 1518.53019 Riv. Mat. Univ. Parma (N.S.) 13, No. 2, 439-448 (2022). Reviewer: Markus Röser (Hamburg) MSC: 53B35 53C55 53C30 PDFBibTeX XMLCite \textit{L. Ornea} and \textit{M. Verbitsky}, Riv. Mat. Univ. Parma (N.S.) 13, No. 2, 439--448 (2022; Zbl 1518.53019) Full Text: arXiv Link
Ornea, Liviu; Verbitsky, Misha Twisted Dolbeault cohomology of nilpotent Lie algebras. (English) Zbl 1501.17018 Transform. Groups 27, No. 1, 225-238 (2022). Reviewer: Anna Fino (Torino) MSC: 17B56 17B30 53C56 PDFBibTeX XMLCite \textit{L. Ornea} and \textit{M. Verbitsky}, Transform. Groups 27, No. 1, 225--238 (2022; Zbl 1501.17018) Full Text: DOI arXiv
Ornea, Liviu; Verbitsky, Misha Principles of Locally Conformally Kahler Geometry. arXiv:2208.07188 Preprint, arXiv:2208.07188 [math.DG] (2022). MSC: 53C55 32Q15 32Q99 BibTeX Cite \textit{L. Ornea} and \textit{M. Verbitsky}, ``Principles of Locally Conformally Kahler Geometry'', Preprint, arXiv:2208.07188 [math.DG] (2022) Full Text: arXiv OA License
Ornea, Liviu; Verbitsky, Misha A Calabi-Yau theorem for Vaisman manifolds. arXiv:2206.08808 Preprint, arXiv:2206.08808 [math.DG] (2022). MSC: 53C55 14J32 32Q25 BibTeX Cite \textit{L. Ornea} and \textit{M. Verbitsky}, ``A Calabi-Yau theorem for Vaisman manifolds'', Preprint, arXiv:2206.08808 [math.DG] (2022) Full Text: arXiv OA License
Ornea, Liviu; Verbitsky, Misha Mall bundles and flat connections on Hopf manifolds. arXiv:2205.14062 Preprint, arXiv:2205.14062 [math.DG] (2022). MSC: 14F06 32L05 32L10 53C07 34C20 BibTeX Cite \textit{L. Ornea} and \textit{M. Verbitsky}, ``Mall bundles and flat connections on Hopf manifolds'', Preprint, arXiv:2205.14062 [math.DG] (2022) Full Text: arXiv OA License
Ornea, Liviu; Verbitsky, Misha Closed orbits of Reeb fields on Sasakian manifolds and elliptic curves on Vaisman manifolds. (English) Zbl 1486.53063 Math. Z. 299, No. 3-4, 2287-2296 (2021). Reviewer: Gabriela Paola Ovando (Rosario) MSC: 53C25 53C55 32V99 PDFBibTeX XMLCite \textit{L. Ornea} and \textit{M. Verbitsky}, Math. Z. 299, No. 3--4, 2287--2296 (2021; Zbl 1486.53063) Full Text: DOI arXiv
Verbitsky, Mikhail S.; Vuletescu, Victor; Ornea, Liviu Classification of non-Kähler surfaces and locally conformally Kähler geometry. (English. Russian original) Zbl 1471.32023 Russ. Math. Surv. 76, No. 2, 261-289 (2021); translation from Usp. Mat. Nauk 76, No. 2, 71-102 (2021). MSC: 32J15 32Q57 PDFBibTeX XMLCite \textit{M. S. Verbitsky} et al., Russ. Math. Surv. 76, No. 2, 261--289 (2021; Zbl 1471.32023); translation from Usp. Mat. Nauk 76, No. 2, 71--102 (2021) Full Text: DOI arXiv
Ornea, Liviu; Verbitsky, Misha Lee classes on LCK manifolds with potential. arXiv:2112.03363 Preprint, arXiv:2112.03363 [math.DG] (2021). MSC: 53C55 32G05 BibTeX Cite \textit{L. Ornea} and \textit{M. Verbitsky}, ``Lee classes on LCK manifolds with potential'', Preprint, arXiv:2112.03363 [math.DG] (2021) Full Text: arXiv OA License
Ornea, Liviu; Verbitsky, Misha Hopf surfaces in locally conformally Kähler manifolds with potential. (English) Zbl 1443.53043 Geom. Dedicata 207, 219-226 (2020). Reviewer: Nicolai K. Smolentsev (Kemerovo) MSC: 53C55 53C40 PDFBibTeX XMLCite \textit{L. Ornea} and \textit{M. Verbitsky}, Geom. Dedicata 207, 219--226 (2020; Zbl 1443.53043) Full Text: DOI arXiv
Ornea, Liviu; Verbitsky, Misha; Vuletescu, Victor Flat affine subvarieties in Oeljeklaus-Toma manifolds. (English) Zbl 1429.32025 Math. Z. 292, No. 3-4, 839-847 (2019). Reviewer: Tsz On Mario Chan (Taipei) MSC: 32J18 PDFBibTeX XMLCite \textit{L. Ornea} et al., Math. Z. 292, No. 3--4, 839--847 (2019; Zbl 1429.32025) Full Text: DOI arXiv
Ornea, Liviu; Verbitsky, Misha Positivity of LCK potential. (English) Zbl 1416.53069 J. Geom. Anal. 29, No. 2, 1479-1489 (2019). MSC: 53C55 32E05 32E10 PDFBibTeX XMLCite \textit{L. Ornea} and \textit{M. Verbitsky}, J. Geom. Anal. 29, No. 2, 1479--1489 (2019; Zbl 1416.53069) Full Text: DOI arXiv
Ornea, Liviu; Verbitsky, Misha; Vuletescu, Victor Weighted Bott-Chern and Dolbeault cohomology for LCK-manifolds with potential. (English) Zbl 1390.32019 J. Math. Soc. Japan 70, No. 1, 409-422 (2018). Reviewer: László Stachó (Szeged) MSC: 32Q15 32L10 53C55 PDFBibTeX XMLCite \textit{L. Ornea} et al., J. Math. Soc. Japan 70, No. 1, 409--422 (2018; Zbl 1390.32019) Full Text: DOI arXiv
Ornea, Liviu; Verbitsky, Misha Embedding of LCK manifolds with potential into Hopf manifolds using Riesz-Schauder theorem. (English) Zbl 1391.32034 Angella, Daniele (ed.) et al., Complex and symplectic geometry. Based on the presentations at the INdAM meeting “Complex and symplectic geometry”, Cortona, Italy, June 12–18, 2016. Cham: Springer (ISBN 978-3-319-62913-1/hbk; 978-3-319-62914-8/ebook). Springer INdAM Series 21, 137-148 (2017). MSC: 32Q15 53C55 PDFBibTeX XMLCite \textit{L. Ornea} and \textit{M. Verbitsky}, Springer INdAM Ser. 21, 137--148 (2017; Zbl 1391.32034) Full Text: DOI arXiv
Ornea, Liviu; Verbitsky, Misha LCK rank of locally conformally Kähler manifolds with potential. (English) Zbl 1347.53058 J. Geom. Phys. 107, 92-98 (2016). Reviewer: Nicolai K. Smolentsev (Kemerovo) MSC: 53C55 53C15 53D15 PDFBibTeX XMLCite \textit{L. Ornea} and \textit{M. Verbitsky}, J. Geom. Phys. 107, 92--98 (2016; Zbl 1347.53058) Full Text: DOI arXiv
Ornea, Liviu; Verbitsky, Misha Locally conformally Kähler metrics obtained from pseudoconvex shells. (English) Zbl 1327.53098 Proc. Am. Math. Soc. 144, No. 1, 325-335 (2016). MSC: 53C55 53C25 PDFBibTeX XMLCite \textit{L. Ornea} and \textit{M. Verbitsky}, Proc. Am. Math. Soc. 144, No. 1, 325--335 (2016; Zbl 1327.53098) Full Text: DOI arXiv
Ornea, Liviu; Verbitsky, Misha Compact pluricanonical manifolds are Vaisman. arXiv:1512.00968 Preprint, arXiv:1512.00968 [math.DG] (2015). MSC: 53C55 BibTeX Cite \textit{L. Ornea} and \textit{M. Verbitsky}, ``Compact pluricanonical manifolds are Vaisman'', Preprint, arXiv:1512.00968 [math.DG] (2015) Full Text: arXiv OA License
Ornea, Liviu; Verbitsky, Misha; Vuletescu, Victor Blow-ups of locally conformally Kähler manifolds. (English) Zbl 1314.32036 Int. Math. Res. Not. 2013, No. 12, 2809-2821 (2013). MSC: 32Q15 32J27 PDFBibTeX XMLCite \textit{L. Ornea} et al., Int. Math. Res. Not. 2013, No. 12, 2809--2821 (2013; Zbl 1314.32036) Full Text: DOI arXiv
Ornea, Liviu; Verbitsky, Misha Locally conformally Kähler manifolds admitting a holomorphic conformal flow. (English) Zbl 1276.53077 Math. Z. 273, No. 3-4, 605-611 (2013). Reviewer: Qilin Yang (Guangzhou) MSC: 53C55 32Q15 PDFBibTeX XMLCite \textit{L. Ornea} and \textit{M. Verbitsky}, Math. Z. 273, No. 3--4, 605--611 (2013; Zbl 1276.53077) Full Text: DOI arXiv
Ornea, Liviu; Verbitsky, Misha Automorphisms of locally conformally Kähler manifolds. (English) Zbl 1238.53054 Int. Math. Res. Not. 2012, No. 4, 894-903 (2012); erratum in J. Geom. Phys. 107, 92-98 (2016). Reviewer: Javier Martinez (Madrid) MSC: 53C55 32Q15 PDFBibTeX XMLCite \textit{L. Ornea} and \textit{M. Verbitsky}, Int. Math. Res. Not. 2012, No. 4, 894--903 (2012; Zbl 1238.53054) Full Text: DOI arXiv
Ornea, Liviu; Verbitsky, Misha Oeljeklaus-Toma manifolds admitting no complex subvarieties. (English) Zbl 1272.53060 Math. Res. Lett. 18, No. 4, 747-754 (2011). MSC: 53C55 32Q15 53C56 PDFBibTeX XMLCite \textit{L. Ornea} and \textit{M. Verbitsky}, Math. Res. Lett. 18, No. 4, 747--754 (2011; Zbl 1272.53060) Full Text: DOI arXiv
Ornea, L.; Verbitsky, M. A report on locally conformally Kähler manifolds. (English) Zbl 1230.53068 Loubeau, E. (ed.) et al., Harmonic maps and differential geometry. A harmonic map fest in honour of John C. Wood’s 60th birthday, Cagliari, Italy, September 7–10, 2009. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4987-3/pbk). Contemporary Mathematics 542, 135-149 (2011). Reviewer: Yoshi Kamishima (Hachioji) MSC: 53C55 32Q20 32Q15 PDFBibTeX XMLCite \textit{L. Ornea} and \textit{M. Verbitsky}, Contemp. Math. 542, 135--149 (2011; Zbl 1230.53068) Full Text: arXiv
Ornea, Liviu; Verbitsky, Misha Locally conformal Kähler manifolds with potential. (English) Zbl 1213.53090 Math. Ann. 348, No. 1, 25-33 (2010). Reviewer: Aurel Bejancu (Safat) MSC: 53C55 PDFBibTeX XMLCite \textit{L. Ornea} and \textit{M. Verbitsky}, Math. Ann. 348, No. 1, 25--33 (2010; Zbl 1213.53090) Full Text: DOI
Ornea, Liviu; Verbitsky, Misha Topology of locally conformally Kähler manifolds with potential. (English) Zbl 1188.53080 Int. Math. Res. Not. 2010, No. 4, 717-726 (2010); erratum in J. Geom. Phys. 107, 92-98 (2016). Reviewer: Mihail Banaru (Smolensk) MSC: 53C55 57R19 PDFBibTeX XMLCite \textit{L. Ornea} and \textit{M. Verbitsky}, Int. Math. Res. Not. 2010, No. 4, 717--726 (2010; Zbl 1188.53080) Full Text: DOI arXiv
Ornea, Liviu; Verbitsky, Misha Morse-Novikov cohomology of locally conformally Kähler manifolds. (English) Zbl 1161.57015 J. Geom. Phys. 59, No. 3, 295-305 (2009); erratum ibid. 107, 92-98 (2016). Reviewer: Gheorghe Pitiş (Braşov) MSC: 57R20 53C56 PDFBibTeX XMLCite \textit{L. Ornea} and \textit{M. Verbitsky}, J. Geom. Phys. 59, No. 3, 295--305 (2009; Zbl 1161.57015) Full Text: DOI arXiv
Ornea, Liviu; Verbitsky, Misha Topology of locally conformally Kahler manifolds with potential. arXiv:0904.3362 Preprint, arXiv:0904.3362 [math.DG] (2009). MSC: 53C55 32G05 BibTeX Cite \textit{L. Ornea} and \textit{M. Verbitsky}, ``Topology of locally conformally Kahler manifolds with potential'', Preprint, arXiv:0904.3362 [math.DG] (2009) Full Text: arXiv OA License
Ornea, Liviu; Verbitsky, Misha Einstein-Weyl structures on complex manifolds and conformal verison of Monge-Ampère equation. (English) Zbl 1199.53141 Bull. Math. Soc. Sci. Math. Roum., Nouv. Sér. 51(99), No. 4, 339-353 (2008). Reviewer: Huafei Sun (Beijing) MSC: 53C55 PDFBibTeX XMLCite \textit{L. Ornea} and \textit{M. Verbitsky}, Bull. Math. Soc. Sci. Math. Roum., Nouv. Sér. 51(99), No. 4, 339--353 (2008; Zbl 1199.53141) Full Text: arXiv
Ornea, Liviu; Verbitsky, Misha Embeddings of compact Sasakian manifolds. (English) Zbl 1140.53035 Math. Res. Lett. 14, No. 4, 703-710 (2007). Reviewer: Huafei Sun (Beijing) MSC: 53C55 53C25 PDFBibTeX XMLCite \textit{L. Ornea} and \textit{M. Verbitsky}, Math. Res. Lett. 14, No. 4, 703--710 (2007; Zbl 1140.53035) Full Text: DOI arXiv
Ornea, Liviu; Verbitsky, Misha Sasakian structures on CR-manifolds. (English) Zbl 1125.53056 Geom. Dedicata 125, 159-173 (2007). Reviewer: Huafei Sun (Beijing) MSC: 53C55 53C25 PDFBibTeX XMLCite \textit{L. Ornea} and \textit{M. Verbitsky}, Geom. Dedicata 125, 159--173 (2007; Zbl 1125.53056) Full Text: DOI arXiv
Ornea, Liviu; Verbitsky, Misha An immersion theorem for Vaisman manifolds. (English) Zbl 1082.53074 Math. Ann. 332, No. 1, 121-143 (2005). Reviewer: Thomas Foertsch (Bonn) MSC: 53C55 14E25 53C25 PDFBibTeX XMLCite \textit{L. Ornea} and \textit{M. Verbitsky}, Math. Ann. 332, No. 1, 121--143 (2005; Zbl 1082.53074) Full Text: DOI arXiv
Ornea, Liviu; Verbitsky, Misha Structure theorem for compact Vaisman manifolds. (English) Zbl 1052.53051 Math. Res. Lett. 10, No. 5-6, 799-805 (2003); erratum in J. Geom. Phys. 107, 92-98 (2016). Reviewer: Nicolai K. Smolentsev (Kemerovo) MSC: 53C55 53C25 PDFBibTeX XMLCite \textit{L. Ornea} and \textit{M. Verbitsky}, Math. Res. Lett. 10, No. 5--6, 799--805 (2003; Zbl 1052.53051) Full Text: DOI arXiv