Gyenge, Ádám The transition function of \(G_2\) over \(S^6\). (English) Zbl 1429.57033 SIGMA, Symmetry Integrability Geom. Methods Appl. 15, Paper 078, 16 p. (2019). Reviewer: Marja Kankaanrinta (Helsinki) MSC: 57S15 55R10 55R25 PDF BibTeX XML Cite \textit{Á. Gyenge}, SIGMA, Symmetry Integrability Geom. Methods Appl. 15, Paper 078, 16 p. (2019; Zbl 1429.57033) Full Text: DOI arXiv
Atiyah, Michael Understanding the 6-dimensional sphere. (English) Zbl 1425.53088 Kouneiher, Joseph (ed.), Foundations of mathematics and physics one century after Hilbert. New perspectives. Cham: Springer. 129-133 (2018). Reviewer: Gabor Etesi (Budapest) MSC: 53C55 53A55 53B15 53C56 PDF BibTeX XML Cite \textit{M. Atiyah}, in: Foundations of mathematics and physics one century after Hilbert. New perspectives. Cham: Springer. 129--133 (2018; Zbl 1425.53088) Full Text: DOI
Wilson, Scott O. Results concerning almost complex structures on the six-sphere. (English) Zbl 1391.53040 SIGMA, Symmetry Integrability Geom. Methods Appl. 14, Paper 034, 21 p. (2018). Reviewer: Andreas Arvanitoyeorgos (Patras) MSC: 53C15 32Q60 53A07 PDF BibTeX XML Cite \textit{S. O. Wilson}, SIGMA, Symmetry Integrability Geom. Methods Appl. 14, Paper 034, 21 p. (2018; Zbl 1391.53040) Full Text: DOI arXiv
Lehn, Christian; Rollenske, Sönke; Schinko, Caren The complex geometry of a hypothetical complex structure on \(S^6\). (English) Zbl 1381.53008 Differ. Geom. Appl. 57, 121-137 (2018). MSC: 53-02 53C15 PDF BibTeX XML Cite \textit{C. Lehn} et al., Differ. Geom. Appl. 57, 121--137 (2018; Zbl 1381.53008) Full Text: DOI
Angella, Daniele Hodge numbers of a hypothetical complex structure on \(S^{6}\). (English) Zbl 1387.32033 Differ. Geom. Appl. 57, 105-120 (2018). MSC: 32Q99 32-02 PDF BibTeX XML Cite \textit{D. Angella}, Differ. Geom. Appl. 57, 105--120 (2018; Zbl 1387.32033) Full Text: DOI
Kruglikov, Boris Non-existence of orthogonal complex structures on \(\mathbb{S}^6\) with a metric close to the round one. (English) Zbl 1387.32034 Differ. Geom. Appl. 57, 94-104 (2018). MSC: 32Q99 53C99 32-02 PDF BibTeX XML Cite \textit{B. Kruglikov}, Differ. Geom. Appl. 57, 94--104 (2018; Zbl 1387.32034) Full Text: DOI
Antić, Miroslava A class of four dimensional CR submanifolds of the sphere \(\mathbf{S}^6(1)\). (English) Zbl 1351.53063 J. Geom. Phys. 110, 78-89 (2016). MSC: 53C40 32V30 58D27 PDF BibTeX XML Cite \textit{M. Antić}, J. Geom. Phys. 110, 78--89 (2016; Zbl 1351.53063) Full Text: DOI
Antić, Miroslava; Vrancken, Luc CR-submanifolds of the nearly Kähler 6-sphere. (English) Zbl 1351.32062 Dragomir, Sorin (ed.) et al., Geometry of Cauchy-Riemann submanifolds. Singapore: Springer (ISBN 978-981-10-0915-0/hbk; 978-981-10-0916-7/ebook). 57-90 (2016). MSC: 32V99 32Q60 53B20 53B21 53B25 PDF BibTeX XML Cite \textit{M. Antić} and \textit{L. Vrancken}, in: Geometry of Cauchy-Riemann submanifolds. Singapore: Springer. 57--90 (2016; Zbl 1351.32062) Full Text: DOI
Antić, Miroslava; Vrancken, Luc Three-dimensional minimal CR submanifolds of the sphere \(S^6(1)\) contained in a hyperplane. (English) Zbl 1332.53024 Mediterr. J. Math. 12, No. 4, 1429-1449 (2015). Reviewer: Dorin Andrica (Riyadh) MSC: 53B25 PDF BibTeX XML Cite \textit{M. Antić} and \textit{L. Vrancken}, Mediterr. J. Math. 12, No. 4, 1429--1449 (2015; Zbl 1332.53024) Full Text: DOI
Obrenović, K.; Vukmirović, S. Two classes of slant surfaces in the nearly Kähler six sphere. (English) Zbl 1280.53059 Rev. Unión Mat. Argent. 54, No. 2, 111-121 (2013). MSC: 53C42 53C55 PDF BibTeX XML Cite \textit{K. Obrenović} and \textit{S. Vukmirović}, Rev. Unión Mat. Argent. 54, No. 2, 111--121 (2013; Zbl 1280.53059) Full Text: Link
Djorić, Mirjana; Vrancken, Luc Geometric conditions on three-dimensional CR submanifolds in \(S^{6}\). (English) Zbl 1198.53056 Adv. Geom. 10, No. 2, 185-196 (2010). Reviewer: Paweł Walczak (Łódz) MSC: 53C40 PDF BibTeX XML Cite \textit{M. Djorić} and \textit{L. Vrancken}, Adv. Geom. 10, No. 2, 185--196 (2010; Zbl 1198.53056) Full Text: DOI
Djorić, Mirjana; Vrancken, Luc On J-parallel totally real three-dimensional submanifolds of \(S^{6}\)(1). (English) Zbl 1186.53025 J. Geom. Phys. 60, No. 2, 175-181 (2010). MSC: 53B25 53C42 PDF BibTeX XML Cite \textit{M. Djorić} and \textit{L. Vrancken}, J. Geom. Phys. 60, No. 2, 175--181 (2010; Zbl 1186.53025) Full Text: DOI
Djorić, Mirjana; Vrancken, Luc Three-dimensional CR-submanifolds in the nearly Kähler 6-sphere with one-dimensional nullity. (English) Zbl 1205.53018 Int. J. Math. 20, No. 2, 189-208 (2009). Reviewer: Esther Sanabria (Valencia) MSC: 53B25 53C40 PDF BibTeX XML Cite \textit{M. Djorić} and \textit{L. Vrancken}, Int. J. Math. 20, No. 2, 189--208 (2009; Zbl 1205.53018) Full Text: DOI
Antić, Miroslava; Djorić, Mirjana; Vrancken, Luc 4-dimensional minimal CR submanifolds of the sphere \(S^{6}\) satisfying Chen’s equality. (English) Zbl 1124.53008 Differ. Geom. Appl. 25, No. 3, 290-298 (2007). Reviewer: Iskander A. Taimanov (Novosibirsk) MSC: 53B25 53C42 PDF BibTeX XML Cite \textit{M. Antić} et al., Differ. Geom. Appl. 25, No. 3, 290--298 (2007; Zbl 1124.53008) Full Text: DOI
Ugarte, Luis Hodge numbers of a hypothetical complex structure on the six sphere. (English) Zbl 0996.53046 Geom. Dedicata 81, No. 1-3, 173-179 (2000). Reviewer: A.P.Stone (Albuquerque) MSC: 53C56 55T99 53C15 PDF BibTeX XML Cite \textit{L. Ugarte}, Geom. Dedicata 81, No. 1--3, 173--179 (2000; Zbl 0996.53046) Full Text: DOI
Bor, Gil; Hernández-Lamoneda, Luis The canonical bundle of a Hermitian manifold. (English) Zbl 0977.53063 Bol. Soc. Mat. Mex., III. Ser. 5, No. 1, 187-198 (1999). MSC: 53C55 PDF BibTeX XML Cite \textit{G. Bor} and \textit{L. Hernández-Lamoneda}, Bol. Soc. Mat. Mex., III. Ser. 5, No. 1, 187--198 (1999; Zbl 0977.53063)
Bolton, John; Woodward, Lyndon M. Special submanifolds of \(S^6\) with its \(G_2\) geometry. (English) Zbl 0906.53010 Apanasov, Boris N. (ed.) et al., Geometry, topology and physics. Proceedings of the first Brazil-USA workshop, Campinas, Brazil, June 30–July 7, 1996. Berlin: de Gruyter. 59-68 (1997). Reviewer: L.Vrancken (Leuven) MSC: 53B25 53C40 53C42 PDF BibTeX XML Cite \textit{J. Bolton} and \textit{L. M. Woodward}, in: Geometry, topology and physics. Proceedings of the first Brazil-USA workshop, Campinas, Brazil, June 30--July 7, 1996. Berlin: de Gruyter. 59--68 (1997; Zbl 0906.53010)
Berndt, Jürgen; Bolton, John; Woodward, Lyndon M. Almost complex curves and Hopf hypersurfaces in the nearly Kähler 6-sphere. (English) Zbl 0842.53015 Geom. Dedicata 56, No. 3, 237-247 (1995). Reviewer: L.Vrancken (Leuven) MSC: 53B25 53C15 53A10 PDF BibTeX XML Cite \textit{J. Berndt} et al., Geom. Dedicata 56, No. 3, 237--247 (1995; Zbl 0842.53015) Full Text: DOI
El-Hadi, K.; Deshmukh, S.; El-Din, B. CR-submanifolds in a 6-dimensional sphere. (English) Zbl 0846.53035 Panam. Math. J. 4, No. 4, 85-91 (1994). MSC: 53C40 53C55 53C42 53C12 PDF BibTeX XML Cite \textit{K. El-Hadi} et al., Panam. Math. J. 4, No. 4, 85--91 (1994; Zbl 0846.53035)
Bolton, J.; Woodward, L. M. Almost complex curves of constant curvature in the nearly Kähler 6-sphere. (English) Zbl 0840.53043 Dillen, Franki (ed.) et al., Geometry and topology of submanifolds, V. Proceedings of the conferences on ‘Differential geometry and vision’ and ‘Theory of submanifolds’ held in combination at Leuven and Brussels, Belgium, July 1992. Singapore: World Scientific. 54-67 (1993). MSC: 53C42 53C15 PDF BibTeX XML Cite \textit{J. Bolton} and \textit{L. M. Woodward}, in: Geometry and topology of submanifolds, V. Proceedings of the conferences on 'Differential geometry and vision' \& 'Theory of submanifolds' held in combination at Leuven and Brussel, Belgium, on July 10, 11 and 14, and July 12 and 13. Singapore: World Scientific. 54--67 (1993; Zbl 0840.53043)
Wood, C. M. Instability of the nearly-Kähler six-sphere. (English) Zbl 0765.53025 J. Reine Angew. Math. 439, 205-212 (1993). Reviewer: C.M.Wood (Heslington) MSC: 53C15 PDF BibTeX XML Cite \textit{C. M. Wood}, J. Reine Angew. Math. 439, 205--212 (1993; Zbl 0765.53025) Full Text: DOI Crelle EuDML
LeBrun, Claude Orthogonal complex structures on \(S^ 6\). (English) Zbl 0629.53037 Proc. Am. Math. Soc. 101, 136-138 (1987). Reviewer: A.V.Borisov MSC: 53C15 14J30 32Q99 PDF BibTeX XML Cite \textit{C. LeBrun}, Proc. Am. Math. Soc. 101, 136--138 (1987; Zbl 0629.53037) Full Text: DOI