Ovando, Gabriela P.; Subils, Mauro Magnetic trajectories on 2-step nilmanifolds. (English) Zbl 1516.70017 J. Geom. Anal. 33, No. 6, Paper No. 186, 28 p. (2023); correction ibid. 34, No. 3, Paper No. 65, 2 p. (2024). MSC: 70G45 70G65 22E70 PDFBibTeX XMLCite \textit{G. P. Ovando} and \textit{M. Subils}, J. Geom. Anal. 33, No. 6, Paper No. 186, 28 p. (2023; Zbl 1516.70017) Full Text: DOI arXiv
Abasheva, Anna; Verbitsky, Misha Algebraic dimension and complex subvarieties of hypercomplex nilmanifolds. (English) Zbl 1515.53051 Adv. Math. 414, Article ID 108866, 34 p. (2023). Reviewer: Dmitri Alekseevsky (Moskva) MSC: 53C26 53C28 53C40 53C55 53C30 14J42 17B66 PDFBibTeX XMLCite \textit{A. Abasheva} and \textit{M. Verbitsky}, Adv. Math. 414, Article ID 108866, 34 p. (2023; Zbl 1515.53051) Full Text: DOI arXiv
Bazzoni, Giovanni; Gil-García, Alejandro; Latorre, Adela Symmetric and skew-symmetric complex structures. (English) Zbl 1480.53084 J. Geom. Phys. 170, Article ID 104348, 14 p. (2021). MSC: 53C56 32Q15 22E25 53C25 53D05 PDFBibTeX XMLCite \textit{G. Bazzoni} et al., J. Geom. Phys. 170, Article ID 104348, 14 p. (2021; Zbl 1480.53084) Full Text: DOI arXiv
Bazzoni, Giovanni; Freibert, Marco; Latorre, Adela; Meinke, Benedict Complex symplectic structures on Lie algebras. (English) Zbl 1464.53100 J. Pure Appl. Algebra 225, No. 6, Article ID 106585, 29 p. (2021). Reviewer: V. V. Gorbatsevich (Moskva) MSC: 53D05 53C30 53C56 22E25 17B99 PDFBibTeX XMLCite \textit{G. Bazzoni} et al., J. Pure Appl. Algebra 225, No. 6, Article ID 106585, 29 p. (2021; Zbl 1464.53100) Full Text: DOI arXiv
Bauer, Wolfram; Tarama, Daisuke On the complete integrability of the geodesic flow of pseudo-\(H\)-type Lie groups. (English) Zbl 1404.53110 Anal. Math. Phys. 8, No. 4, 493-520 (2018). MSC: 53D25 53C30 22E25 37K10 37D40 PDFBibTeX XMLCite \textit{W. Bauer} and \textit{D. Tarama}, Anal. Math. Phys. 8, No. 4, 493--520 (2018; Zbl 1404.53110) Full Text: DOI
Fanaï, Hamid-Reza; Hasan-Zadeh, Atefeh A symplectic rigidity problem for 2-step nilmanifolds. (English) Zbl 1432.53120 Houston J. Math. 43, No. 2, 363-374 (2017). Reviewer: Alfonso Giuseppe Tortorella (Firenze) MSC: 53D25 53C24 53D05 22E25 PDFBibTeX XMLCite \textit{H.-R. Fanaï} and \textit{A. Hasan-Zadeh}, Houston J. Math. 43, No. 2, 363--374 (2017; Zbl 1432.53120)
Bazzoni, Giovanni; Marrero, Juan Carlos Locally conformal symplectic nilmanifolds with no locally conformal Kähler metrics. (English) Zbl 1381.53150 Complex Manifolds 4, 172-178 (2017). Reviewer: Luca Vitagliano (Fisciano) MSC: 53D05 53C55 PDFBibTeX XMLCite \textit{G. Bazzoni} and \textit{J. C. Marrero}, Complex Manifolds 4, 172--178 (2017; Zbl 1381.53150) Full Text: DOI arXiv
Fino, Anna; Kasuya, Hisashi Tamed symplectic structures on compact solvmanifolds of completely solvable type. (English) Zbl 1382.32014 Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 16, No. 3, 971-979 (2016). Reviewer: Simon Chiossi (Niteroi) MSC: 32J27 PDFBibTeX XMLCite \textit{A. Fino} and \textit{H. Kasuya}, Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 16, No. 3, 971--979 (2016; Zbl 1382.32014) Full Text: DOI arXiv
Kocsard, Alejandro; Ovando, Gabriela P.; Reggiani, Silvio On first integrals of the geodesic flow on Heisenberg nilmanifolds. (English) Zbl 1353.53059 Differ. Geom. Appl. 49, 496-509 (2016). MSC: 53C30 53C25 22E25 57S20 37D40 53D25 PDFBibTeX XMLCite \textit{A. Kocsard} et al., Differ. Geom. Appl. 49, 496--509 (2016; Zbl 1353.53059) Full Text: DOI arXiv
Fino, Anna; Vezzoni, Luigi On the existence of balanced and SKT metrics on nilmanifolds. (English) Zbl 1345.32017 Proc. Am. Math. Soc. 144, No. 6, 2455-2459 (2016). Reviewer: Andreas Höring (Nice) MSC: 32J27 53C55 53C30 53D05 PDFBibTeX XMLCite \textit{A. Fino} and \textit{L. Vezzoni}, Proc. Am. Math. Soc. 144, No. 6, 2455--2459 (2016; Zbl 1345.32017) Full Text: DOI arXiv
Fernández-Culma, Edison Alberto Soliton almost Kähler structures on 6-dimensional nilmanifolds for the symplectic curvature flow. (English) Zbl 1345.57029 J. Geom. Anal. 25, No. 4, 2736-2758 (2015). Reviewer: Andrew Bucki (Edmond) MSC: 57N16 22E25 22E45 PDFBibTeX XMLCite \textit{E. A. Fernández-Culma}, J. Geom. Anal. 25, No. 4, 2736--2758 (2015; Zbl 1345.57029) Full Text: DOI arXiv
del Barco, Viviana Symplectic structures on nilmanifolds: an obstruction for their existence. (English) Zbl 1320.53098 J. Lie Theory 24, No. 3, 889-908 (2014). Reviewer: Giovanni Bazzoni (Bielefeld) MSC: 53D05 17B30 17B56 PDFBibTeX XMLCite \textit{V. del Barco}, J. Lie Theory 24, No. 3, 889--908 (2014; Zbl 1320.53098) Full Text: arXiv Link
Tseng, Li-Sheng; Yau, Shing-Tung Cohomology and Hodge theory on symplectic manifolds. II. (English) Zbl 1275.53080 J. Differ. Geom. 91, No. 3, 417-443 (2012). Reviewer: Adara M. Blaga (Timişoara) MSC: 53D35 53D05 PDFBibTeX XMLCite \textit{L.-S. Tseng} and \textit{S.-T. Yau}, J. Differ. Geom. 91, No. 3, 417--443 (2012; Zbl 1275.53080) Full Text: DOI arXiv Euclid
Fino, Anna; Tomassini, Adriano On blow-ups and cohomology of almost complex manifolds. (English) Zbl 1271.53033 Differ. Geom. Appl. 30, No. 5, 520-529 (2012). Reviewer: Svatopluk Krýsl (Praha) MSC: 53C15 57R17 53C56 PDFBibTeX XMLCite \textit{A. Fino} and \textit{A. Tomassini}, Differ. Geom. Appl. 30, No. 5, 520--529 (2012; Zbl 1271.53033) Full Text: DOI
Hilali, Mohamed Rachid; Mamouni, My Ismail A lower bound for the cohomological dimension of an elliptic space. (A lower bound of cohomologic dimension for an elliptic space.) (English) Zbl 1161.55003 Topology Appl. 156, No. 2, 274-283 (2008). Reviewer: Aniceto Murillo (Malaga) MSC: 55P62 55N34 57T99 PDFBibTeX XMLCite \textit{M. R. Hilali} and \textit{M. I. Mamouni}, Topology Appl. 156, No. 2, 274--283 (2008; Zbl 1161.55003) Full Text: DOI arXiv
Lauret, Jorge A canonical compatible metric for geometric structures on nilmanifolds. (English) Zbl 1102.53021 Ann. Global Anal. Geom. 30, No. 2, 107-138 (2006). Reviewer: Benjamin Cahen (Metz) MSC: 53C20 22E25 53C15 53D20 53D05 PDFBibTeX XMLCite \textit{J. Lauret}, Ann. Global Anal. Geom. 30, No. 2, 107--138 (2006; Zbl 1102.53021) Full Text: DOI arXiv
Butler, Leo Integrable geodesic flows with wild first integrals: the case of two-step nilmanifolds. (English) Zbl 1063.37049 Ergodic Theory Dyn. Syst. 23, No. 3, 771-797 (2003). Reviewer: L. Del Riego (San Luis Potosí) MSC: 37J35 53D25 37B40 53C30 70H06 PDFBibTeX XMLCite \textit{L. Butler}, Ergodic Theory Dyn. Syst. 23, No. 3, 771--797 (2003; Zbl 1063.37049) Full Text: DOI
Butler, Leo T. Invariant metrics on nilmanifolds with positive topological entropy. (English) Zbl 1140.37320 Geom. Dedicata 100, 173-185 (2003). MSC: 37D40 53D25 PDFBibTeX XMLCite \textit{L. T. Butler}, Geom. Dedicata 100, 173--185 (2003; Zbl 1140.37320) Full Text: DOI
Sakane, Yusuke; Yamada, Takumi Harmonic cohomology groups on compact symplectic nilmanifolds. (English) Zbl 1034.53079 Gu, Chaohao (ed.) et al., Differential geometry and related topics. Proceedings of the international conference on modern mathematics and the international symposium on differential geometry, Shanghai, China, September 19–23, 2001. In honor of Professor Su Buchin on the centenary of his birth. Singapore: World Scientific (ISBN 981-238-188-0/hbk). 204-215 (2002). Reviewer: Mircea Puta (Timişoara) MSC: 53D05 57R17 PDFBibTeX XMLCite \textit{Y. Sakane} and \textit{T. Yamada}, in: Differential geometry and related topics. Proceedings of the international conference on modern mathematics and the international symposium on differential geometry, Shanghai, China, September 19--23, 2001. In honor of Professor Su Buchin on the centenary of his birth. Singapore: World Scientific. 204--215 (2002; Zbl 1034.53079)
Sakane, Yusuke; Yamada, Takumi Harmonic cohomology groups of compact symplectic nilmanifolds. (English) Zbl 1034.53078 Guest, Martin (ed.) et al., Differential geometry and integrable systems. Proceedings of the conference, Tokyo, Japan, July 17–21, 2000. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-2938-6/pbk). Contemp. Math. 308, 287-296 (2002). Reviewer: Sergei Platonov (Petrozavodsk) MSC: 53D05 57R17 PDFBibTeX XMLCite \textit{Y. Sakane} and \textit{T. Yamada}, Contemp. Math. 308, 287--296 (2002; Zbl 1034.53078)
Yamada, Takumi Harmonic cohomology groups on compact symplectic nilmanifolds. (English) Zbl 1012.53067 Osaka J. Math. 39, No. 2, 363-381 (2002). Reviewer: Akira Asada (Takarazuka) MSC: 53D35 58A14 57T15 PDFBibTeX XMLCite \textit{T. Yamada}, Osaka J. Math. 39, No. 2, 363--381 (2002; Zbl 1012.53067)
Ibáñez, R.; Rudyak, Yu.; Tralle, A.; Ugarte, L. On symplectically harmonic forms on six-dimensional nil-manifolds. (English) Zbl 0999.53049 Comment. Math. Helv. 76, No. 1, 89-109 (2001). Reviewer: Andrew Bucki (Oklahoma City) MSC: 53D05 58A12 57R17 PDFBibTeX XMLCite \textit{R. Ibáñez} et al., Comment. Math. Helv. 76, No. 1, 89--109 (2001; Zbl 0999.53049) Full Text: DOI arXiv
Dotti, Isabel; Tirao, Paulo Symplectic structures on Heisenberg-type nilmanifolds. (English) Zbl 0962.53030 Manuscr. Math. 102, No. 3, 383-401 (2000). Reviewer: Meng-Kiat Chuah (Hsinchu) MSC: 53C30 22E25 53D05 53C55 PDFBibTeX XMLCite \textit{I. Dotti} and \textit{P. Tirao}, Manuscr. Math. 102, No. 3, 383--401 (2000; Zbl 0962.53030) Full Text: DOI
Fernández, Marisa; Ibánez, Raúl; de León, Manuel A Nomizu’s theorem for the coeffective cohomology. (English) Zbl 0886.58002 Math. Z. 226, No. 1, 11-23 (1997). Reviewer: M.de León (Madrid) MSC: 58A12 53C15 PDFBibTeX XMLCite \textit{M. Fernández} et al., Math. Z. 226, No. 1, 11--23 (1997; Zbl 0886.58002) Full Text: DOI
Gordon, Carolyn S.; Mao, Yiping; Schueth, Dorothee Symplectic rigidity of geodesic flows on two-step nilmanifolds. (English) Zbl 0897.53033 Ann. Sci. Éc. Norm. Supér. (4) 30, No. 4, 417-427 (1997). Reviewer: P.Eberlein (Chapel Hill) MSC: 53C22 37D40 53D25 58J50 53C30 PDFBibTeX XMLCite \textit{C. S. Gordon} et al., Ann. Sci. Éc. Norm. Supér. (4) 30, No. 4, 417--427 (1997; Zbl 0897.53033) Full Text: DOI Numdam EuDML
Tralle, Aleksy; Oprea, John Symplectic manifolds with no Kähler structure. (English) Zbl 0891.53001 Lecture Notes in Mathematics. 1661. Berlin: Springer. viii, 207 p. (1997). Reviewer: M.Fernandez (Bilbao) MSC: 53-02 53C15 55P62 PDFBibTeX XMLCite \textit{A. Tralle} and \textit{J. Oprea}, Symplectic manifolds with no Kähler structure. Berlin: Springer (1997; Zbl 0891.53001) Full Text: DOI
Tralle, Aleksy Applications of rational homotopy to geometry (results, problems, conjectures). (English) Zbl 0873.55012 Expo. Math. 14, No. 5, 425-472 (1996). Reviewer: M.Fernández MSC: 55P62 53C55 PDFBibTeX XMLCite \textit{A. Tralle}, Expo. Math. 14, No. 5, 425--472 (1996; Zbl 0873.55012)
Kuwabara, Ruishi Lax-type isospectral deformations on nilmanifolds. (English) Zbl 0854.58040 Ann. Global Anal. Geom. 14, No. 2, 193-218 (1996). Reviewer: S.Nikčević (Beograd) MSC: 58J50 37A30 53D50 37D40 53D25 PDFBibTeX XMLCite \textit{R. Kuwabara}, Ann. Global Anal. Geom. 14, No. 2, 193--218 (1996; Zbl 0854.58040) Full Text: DOI
Mathieu, Olivier Harmonic cohomology classes of symplectic manifolds. (English) Zbl 0831.58004 Comment. Math. Helv. 70, No. 1, 1-9 (1995). Reviewer: J.Koiller (Rio de Janeiro) MSC: 58A14 53C15 55N20 PDFBibTeX XMLCite \textit{O. Mathieu}, Comment. Math. Helv. 70, No. 1, 1--9 (1995; Zbl 0831.58004) Full Text: DOI EuDML
Fernández, Marisa; Ibáñez, Raúl; de León, Manuel The coeffective cohomology for compact symplectic nilmanifolds. (English) Zbl 0846.58002 Cañadas-Pinedo, M. A. (ed.) et al., WOGDA ’94. Proceedings of the 3rd fall workshop on differential geometry and its applications, Granada, Spain, September 26-27, 1994. Madrid: CIEMAT. An. Fís., Monogr. 2, 131-144 (1994). Reviewer: L.A.Cordero (Santiago de Compostela) MSC: 58A12 53C15 53C55 PDFBibTeX XMLCite \textit{M. Fernández} et al., An. Fís., Monogr. 2, 131--144 (1994; Zbl 0846.58002)
Gordon, Carolyn; Mao, Yiping Comparisons of Laplace spectra, length spectra and geodesic flows of some Riemannian manifolds. (English) Zbl 0837.58035 Math. Res. Lett. 1, No. 6, 677-688 (1994). Reviewer: S.Nikčević (Beograd) MSC: 58J50 53C22 37D40 53D25 PDFBibTeX XMLCite \textit{C. Gordon} and \textit{Y. Mao}, Math. Res. Lett. 1, No. 6, 677--688 (1994; Zbl 0837.58035) Full Text: DOI
Kuwabara, Ruishi Spectra and geodesic flows on nilmanifolds: Reductions of Hamiltonian systems and differential operators. (English) Zbl 0808.58033 J. Math. Soc. Japan 46, No. 1, 119-137 (1994). Reviewer: N.Papaghiuc (Iaşi) MSC: 37D40 53D25 37A30 37J99 35P05 PDFBibTeX XMLCite \textit{R. Kuwabara}, J. Math. Soc. Japan 46, No. 1, 119--137 (1994; Zbl 0808.58033) Full Text: DOI
Sari, Tewfik On affinely flat contact manifolds. (Sur les variétés de contact affines plates.) (French) Zbl 0769.53023 Sémin. Gaston Darboux Géom. Topologie Différ. 1991-1992, 125-158 (1993). MSC: 53C15 53A15 PDFBibTeX XMLCite \textit{T. Sari}, Sémin. Gaston Darboux Géom. Topologie Différ. 1991--1992, 125--158 (1993; Zbl 0769.53023)
Cordero, Luis A.; Wolak, Robert A. Examples of foliations with foliated geometric structures. (English) Zbl 0662.53026 Pac. J. Math. 142, No. 2, 265-276 (1990). Reviewer: L.A.Cordero MSC: 53C12 57R30 PDFBibTeX XMLCite \textit{L. A. Cordero} and \textit{R. A. Wolak}, Pac. J. Math. 142, No. 2, 265--276 (1990; Zbl 0662.53026) Full Text: DOI
de León, Manuel Examples of stable compact symplectic foliations on compact symplectic manifolds. (English) Zbl 0691.53018 Port. Math. 46, No. 4, 391-399 (1989). Reviewer: L.A.Cordero MSC: 53C12 53C15 57R30 PDFBibTeX XMLCite \textit{M. de León}, Port. Math. 46, No. 4, 391--399 (1989; Zbl 0691.53018) Full Text: EuDML
Benson, Chal; Gordon, Carolyn S. Kähler and symplectic structures on nilmanifolds. (English) Zbl 0672.53036 Topology 27, No. 4, 513-518 (1988). Reviewer: L.A.Cordero MSC: 53C15 53C55 57R15 PDFBibTeX XMLCite \textit{C. Benson} and \textit{C. S. Gordon}, Topology 27, No. 4, 513--518 (1988; Zbl 0672.53036) Full Text: DOI