Draper, C. Holonomy and 3-Sasakian homogeneous manifolds versus symplectic triple systems. (English) Zbl 1486.53068 Transform. Groups 26, No. 4, 1293-1314 (2021). MSC: 53C29 53C05 17B81 17A01 PDF BibTeX XML Cite \textit{C. Draper}, Transform. Groups 26, No. 4, 1293--1314 (2021; Zbl 1486.53068) Full Text: DOI arXiv OpenURL
Kazemi Balgeshir, Mohammad Bagher; Uddin, Siraj; Tarigi Ahmadsaryi, Soghra Ricci and scalar curvatures of hemi-slant submanifolds in 3-Sasakian space forms. (English) Zbl 1485.53019 J. Math. Ext. 15, No. 4, Paper No. 6, 17 p. (2021). MSC: 53B25 53D15 53C15 PDF BibTeX XML Cite \textit{M. B. Kazemi Balgeshir} et al., J. Math. Ext. 15, No. 4, Paper No. 6, 17 p. (2021; Zbl 1485.53019) Full Text: DOI Link OpenURL
Draper Fontanals, Cristina Homogeneous Einstein manifolds based on symplectic triple systems. (English) Zbl 1470.53053 Commun. Math. 28, No. 2, 139-154 (2020). Reviewer: Yurii G. Nikonorov (Volgodonsk) MSC: 53C30 53C50 17A40 17B60 PDF BibTeX XML Cite \textit{C. Draper Fontanals}, Commun. Math. 28, No. 2, 139--154 (2020; Zbl 1470.53053) Full Text: DOI arXiv OpenURL
Agricola, Ilka; Dileo, Giulia Generalizations of 3-Sasakian manifolds and skew torsion. (English) Zbl 1448.53052 Adv. Geom. 20, No. 3, 331-374 (2020). Reviewer: Mihail Banaru (Smolensk) MSC: 53C25 53B05 53C15 53D10 53C27 32V05 22E25 PDF BibTeX XML Cite \textit{I. Agricola} and \textit{G. Dileo}, Adv. Geom. 20, No. 3, 331--374 (2020; Zbl 1448.53052) Full Text: DOI arXiv OpenURL
van Coevering, Craig Deformations of Killing spinors on Sasakian and 3-Sasakian manifolds. (English) Zbl 1373.53066 J. Math. Soc. Japan 69, No. 1, 53-91 (2017). Reviewer: Cihan Özgür (Balikesir) MSC: 53C25 32Q20 53C27 PDF BibTeX XML Cite \textit{C. van Coevering}, J. Math. Soc. Japan 69, No. 1, 53--91 (2017; Zbl 1373.53066) Full Text: DOI arXiv Euclid OpenURL
Mirmohammad Rezaii, Morteza; Zandi, Mehrnoosh Invariant structures and gauge transformation of almost contact metric manifolds. (English) Zbl 1424.53038 Turk. J. Math. 40, No. 6, 1274-1282 (2016). MSC: 53A55 53C15 53C25 PDF BibTeX XML Cite \textit{M. Mirmohammad Rezaii} and \textit{M. Zandi}, Turk. J. Math. 40, No. 6, 1274--1282 (2016; Zbl 1424.53038) Full Text: DOI OpenURL
Özdemir, Nülifer On seven dimensional 3-Sasakian manifolds. (English) Zbl 1450.53053 Commun. Fac. Sci. Univ. Ank., Sér. A1, Math. Stat. 65, No. 1, 127-135 (2016). Reviewer: Dmitri Alekseevsky (Moskva) MSC: 53C25 53C10 53C27 53C38 PDF BibTeX XML Cite \textit{N. Özdemir}, Commun. Fac. Sci. Univ. Ank., Sér. A1, Math. Stat. 65, No. 1, 127--135 (2016; Zbl 1450.53053) Full Text: DOI OpenURL
Dearricott, Owen Quaternion-Sasakian manifolds and reduction. (English) Zbl 1333.53055 Int. Math. Res. Not. 2015, No. 18, 8799-8829 (2015). Reviewer: Zdeněk Dušek (Hradec Kralove) MSC: 53C25 PDF BibTeX XML Cite \textit{O. Dearricott}, Int. Math. Res. Not. 2015, No. 18, 8799--8829 (2015; Zbl 1333.53055) Full Text: DOI OpenURL
Özdemir, Nülifer; Aktay, Şirin On deformations of \(G_{2}\)-structures by Killing vector fields. (English) Zbl 1302.53050 Adv. Geom. 14, No. 4, 683-690 (2014). MSC: 53C25 53C10 PDF BibTeX XML Cite \textit{N. Özdemir} and \textit{Ş. Aktay}, Adv. Geom. 14, No. 4, 683--690 (2014; Zbl 1302.53050) Full Text: DOI OpenURL
Özdemír, Nýlüfer; Aktay, Şýrýn Examples of deformations of nearly parallel \(G_2\) structures on 7-dimensional 3-Sasakian manifolds by characteristic vector fields. (English) Zbl 1314.53084 Int. Electron. J. Geom. 7, No. 2, 18-24 (2014). Reviewer: Cihan Özgür (Balikesir) MSC: 53C25 53C10 PDF BibTeX XML Cite \textit{N. Özdemír} and \textit{Ş. Aktay}, Int. Electron. J. Geom. 7, No. 2, 18--24 (2014; Zbl 1314.53084) Full Text: Link OpenURL
Petkov, Alexander A Lichnerowicz-type result on a seven-dimensional quaternionic contact manifold. (English) Zbl 1474.53202 God. Sofiĭ. Univ., Fak. Mat. Inform. 101, 193-213 (2013). MSC: 53C21 58J60 53C17 35P15 53C25 PDF BibTeX XML Cite \textit{A. Petkov}, God. Sofiĭ. Univ., Fak. Mat. Inform. 101, 193--213 (2013; Zbl 1474.53202) Full Text: arXiv Link OpenURL
Ivanov, S.; Petkov, A.; Vassilev, D. The sharp lower bound of the first eigenvalue of the sub-Laplacian on a quaternionic contact manifold in dimension seven. (English) Zbl 1285.53029 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 93, 51-61 (2013). Reviewer: Mohammed El Aïdi (Bogotá) MSC: 53C21 58J60 53C17 35P15 53C25 PDF BibTeX XML Cite \textit{S. Ivanov} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 93, 51--61 (2013; Zbl 1285.53029) Full Text: DOI arXiv OpenURL
Malek, Fereshteh; Kazemi Balgeshir, Mohammad Bagher Semi-slant and bi-slant submanifolds of almost contact metric 3-structure manifolds. (English) Zbl 1292.53038 Turk. J. Math. 37, No. 6, 1030-1039 (2013). Reviewer: Fortuné Massamba (Pietermaritzburg) MSC: 53C40 53C15 53C25 PDF BibTeX XML Cite \textit{F. Malek} and \textit{M. B. Kazemi Balgeshir}, Turk. J. Math. 37, No. 6, 1030--1039 (2013; Zbl 1292.53038) OpenURL
Agricola, Ilka; Friedrich, Thomas 3-Sasakian manifolds in dimension seven, their spinors and G\(_2\)-structures. (English) Zbl 1188.53041 J. Geom. Phys. 60, No. 2, 326-332 (2010). Reviewer: Zbigniew Olszak (Wrocław) MSC: 53C25 53D15 81T30 PDF BibTeX XML Cite \textit{I. Agricola} and \textit{T. Friedrich}, J. Geom. Phys. 60, No. 2, 326--332 (2010; Zbl 1188.53041) Full Text: DOI arXiv OpenURL
Rukimbira, Philippe The 1-nullity of Sasakian manifolds. (English) Zbl 1180.53048 Galicki, Krzysztof (ed.) et al., Riemannian topology and geometric structures on manifolds. Proceedings of the conference in honor of Charles P. Boyer’s 65th birthday, Albuquerque, NM, USA, October 10–14, 2006. Basel: Birkhäuser (ISBN 978-0-8176-4742-1/hbk; 978-0-8176-4743-8/ebook). Progress in Mathematics 271, 153-159 (2009). Reviewer: Beniamino Cappelletti Montano (Bari) MSC: 53C25 PDF BibTeX XML Cite \textit{P. Rukimbira}, Prog. Math. 271, 153--159 (2009; Zbl 1180.53048) OpenURL
Bazaĭkin, Ya. V.; Malkovich, E. G. \(G_2\)-holonomy metrics connected with a 3-Sasakian manifold. (Russian, English) Zbl 1164.53359 Sib. Mat. Zh. 49, No. 1, 3-7 (2008); translation in Sib. Math. J. 49, No. 1, 1-4 (2008). MSC: 53C29 53C25 PDF BibTeX XML Cite \textit{Ya. V. Bazaĭkin} and \textit{E. G. Malkovich}, Sib. Mat. Zh. 49, No. 1, 3--7 (2008; Zbl 1164.53359); translation in Sib. Math. J. 49, No. 1, 1--4 (2008) Full Text: arXiv EMIS OpenURL
Fetcu, Dorel Biharmonic Legendre curves in Sasakian space forms. (English) Zbl 1152.53049 J. Korean Math. Soc. 45, No. 2, 393-404 (2008). Reviewer: Alexander A. Borisenko (Khar’kov) MSC: 53C43 53C25 PDF BibTeX XML Cite \textit{D. Fetcu}, J. Korean Math. Soc. 45, No. 2, 393--404 (2008; Zbl 1152.53049) Full Text: DOI OpenURL
Boyer, Charles P.; Galicki, Krzysztof Sasakian geometry. (English) Zbl 1155.53002 Oxford Mathematical Monographs; Oxford Science Publications. Oxford: Oxford University Press (ISBN 978-0-19-856495-9/hbk). xi, 613 p. (2008). Reviewer: Simon Chiossi (Berlin) MSC: 53-02 53C25 PDF BibTeX XML Cite \textit{C. P. Boyer} and \textit{K. Galicki}, Sasakian geometry. Oxford: Oxford University Press (2008; Zbl 1155.53002) OpenURL
Bazajkin, Ya. V. On new examples of complete noncompact Spin(7)-holonomy metrics. (Russian, English) Zbl 1164.53360 Sib. Mat. Zh. 48, No. 1, 11-32 (2007); translation in Sib. Math. J. 48, No. 1, 8-25 (2007). MSC: 53C29 PDF BibTeX XML Cite \textit{Ya. V. Bazajkin}, Sib. Mat. Zh. 48, No. 1, 11--32 (2007; Zbl 1164.53360); translation in Sib. Math. J. 48, No. 1, 8--25 (2007) Full Text: DOI EuDML EMIS OpenURL
Turgut Vanli, Aysel Corrected energy of distributions for 3-Sasakian and normal complex contact manifolds, and a critical point of the energy on the Iwasawa manifold. (English) Zbl 1164.53302 Bokan, Neda (ed.) et al., Proceedings of the conference on contemporary geometry and related topics, Belgrade, Serbia and Montenegro, June 26–July 2, 2005. Belgrade: University of Belgrade, Faculty of Mathematics (ISBN 86-7589-059-1/hbk). 513-522 (2006). Reviewer: Mirjana Đorić (Beograd) MSC: 53-02 53C25 53D10 PDF BibTeX XML Cite \textit{A. Turgut Vanli}, in: Proceedings of the conference on contemporary geometry and related topics, Belgrade, Serbia and Montenegro, June 26--July 2, 2005. Belgrade: University of Belgrade, Faculty of Mathematics. 513--522 (2006; Zbl 1164.53302) OpenURL
Gini, Rosa; Ornea, Liviu; Parton, Maurizio; Piccinni, Paolo Reduction of Vaisman structures in complex and quaternionic geometry. (English) Zbl 1109.53070 J. Geom. Phys. 56, No. 12, 2501-2522 (2006). MSC: 53C55 53C25 53D20 53C26 PDF BibTeX XML Cite \textit{R. Gini} et al., J. Geom. Phys. 56, No. 12, 2501--2522 (2006; Zbl 1109.53070) Full Text: DOI arXiv OpenURL
Blair, David E.; Turgut Vanli, Aysel Corrected energy of distributions for 3-Sasakian and normal complex contact manifolds. (English) Zbl 1102.53030 Osaka J. Math. 43, No. 1, 193-200 (2006). Reviewer: Marian Ioan Munteanu (Iaşi) MSC: 53C25 53C15 53D10 PDF BibTeX XML Cite \textit{D. E. Blair} and \textit{A. Turgut Vanli}, Osaka J. Math. 43, No. 1, 193--200 (2006; Zbl 1102.53030) OpenURL
Dearricott, Owen Positive sectional curvature on 3-Sasakian manifolds. (English) Zbl 1066.53091 Ann. Global Anal. Geom. 25, No. 1, 59-72 (2004). Reviewer: Andrew Bucki (Edmond) MSC: 53C25 53C21 53C26 PDF BibTeX XML Cite \textit{O. Dearricott}, Ann. Global Anal. Geom. 25, No. 1, 59--72 (2004; Zbl 1066.53091) Full Text: DOI OpenURL
Al-Solamy, Falleh R. On the geometry of 3-contact CR-submanifolds of manifolds with generalised 3-Sasakian structure. (English) Zbl 1049.53010 Arab J. Math. Sci. 9, No. 1, 15-28 (2003). Reviewer: Aurel Bejancu (Iaşi) MSC: 53B25 53C25 PDF BibTeX XML Cite \textit{F. R. Al-Solamy}, Arab J. Math. Sci. 9, No. 1, 15--28 (2003; Zbl 1049.53010) OpenURL
Boyer, Charles P.; Galicki, Krzysztof; Piccinni, Paolo 3-Sasakian geometry, nilpotent orbits, and exceptional quotients. (English) Zbl 1003.53032 Ann. Global Anal. Geom. 21, No. 1, 85-110 (2002). Reviewer: Liviu Ornea (Bucureşti) MSC: 53C25 53C26 PDF BibTeX XML Cite \textit{C. P. Boyer} et al., Ann. Global Anal. Geom. 21, No. 1, 85--110 (2002; Zbl 1003.53032) Full Text: DOI arXiv OpenURL
Ornea, L. Weyl structures. (English) Zbl 1029.53055 Barletta, Elisabetta (ed.), Selected topics in geometry and mathematical physics. Vol. I. Potenza: Univ. degli Studi della Basilicata, Dipartimento di Matematica, Seminario Interdisciplinare di Matematica, 43-80 (2001). Reviewer: Zbigniew Olszak (Wrocław) MSC: 53C26 53C15 PDF BibTeX XML Cite \textit{L. Ornea}, in: Selected topics in geometry and mathematical physics. Potenza: Università degli Studi della Basilicata, Dipartimento di Matematica. 43--80 (2001; Zbl 1029.53055) OpenURL
Jelonek, Włodzimierz Quaternionic-Kähler geometry and almost Kähler \(\mathcal A\)-manifolds. (English) Zbl 1027.53049 Ann. Pol. Math. 75, No. 2, 111-124 (2000). Reviewer: Vicente Cortés (Bonn) MSC: 53C26 53C25 PDF BibTeX XML Cite \textit{W. Jelonek}, Ann. Pol. Math. 75, No. 2, 111--124 (2000; Zbl 1027.53049) Full Text: DOI EuDML OpenURL
Ornea, Liviu; Piccinni, Paolo On some moment maps and induced Hopf bundles in the quaternionic projective space. (English) Zbl 1005.53020 Int. J. Math. 11, No. 7, 925-942 (2000). Reviewer: Luis A.Cordero (Santiago de Compostela) MSC: 53C15 53C25 53C26 53D20 PDF BibTeX XML Cite \textit{L. Ornea} and \textit{P. Piccinni}, Int. J. Math. 11, No. 7, 925--942 (2000; Zbl 1005.53020) Full Text: DOI arXiv OpenURL
Bejancu, Aurel; Farran, Hani Reda On totally umbilical QR-submanifolds of quaternion Kaehlerian manifolds. (English) Zbl 0974.53015 Bull. Aust. Math. Soc. 62, No. 1, 95-103 (2000). Reviewer: Jürgen Berndt (Hull) MSC: 53B25 53C26 53C25 PDF BibTeX XML Cite \textit{A. Bejancu} and \textit{H. R. Farran}, Bull. Aust. Math. Soc. 62, No. 1, 95--103 (2000; Zbl 0974.53015) Full Text: DOI OpenURL
Liu, Ximin \(3\)-\(C\)-totally real submanifolds of a \(3\)-Sasakian manifold. (Chinese. English summary) Zbl 1021.53032 Pure Appl. Math. 14, No. 2, 93-97 (1998). MSC: 53C40 53C25 PDF BibTeX XML Cite \textit{X. Liu}, Pure Appl. Math. 14, No. 2, 93--97 (1998; Zbl 1021.53032) OpenURL
Martín Cabrera, Francisco Almost hyper-Hermitian structures in bundle spaces over manifolds with almost contact \(3\)-structure. (English) Zbl 0955.53027 Czech. Math. J. 48, No. 3, 545-563 (1998). Reviewer: O.Kowalski (Praha) MSC: 53C26 53C55 53C25 53D15 PDF BibTeX XML Cite \textit{F. Martín Cabrera}, Czech. Math. J. 48, No. 3, 545--563 (1998; Zbl 0955.53027) Full Text: DOI EuDML OpenURL
Boyer, Charles P.; Galicki, Krzystof; Mann, Benjamin M. Hypercomplex structures from 3-Sasakian structures. (English) Zbl 0908.53026 J. Reine Angew. Math. 501, 115-141 (1998). Reviewer: Liviu Ornea (Bucureşti) MSC: 53C25 53C55 PDF BibTeX XML Cite \textit{C. P. Boyer} et al., J. Reine Angew. Math. 501, 115--141 (1998; Zbl 0908.53026) OpenURL
Bejancu, Aurel Pseudo-quaternionic submanifolds and generalized 3-Sasakian manifolds. (English) Zbl 0933.53013 J. Natl. Acad. Math. India 11(1997), 110-117 (1999). Reviewer: Jürgen Berndt (Hull) MSC: 53B25 53C15 53C25 PDF BibTeX XML Cite \textit{A. Bejancu}, J. Natl. Acad. Math. India 11, 110--117 (1997; Zbl 0933.53013) OpenURL
Bourguignon, Jean-Pierre The geometry of Killing spinors. (English) Zbl 0901.53032 Grimaldi, Renata (ed.) et al., Proceedings of the workshop on differential geometry and topology, Palermo, Italy, June 3–9, 1996. Palermo: Circolo Matemàtico di Palermo, Suppl. Rend. Circ. Mat. Palermo, II. Ser. 49, 51-60 (1997). Reviewer: Bernd Ammann (Freiburg) MSC: 53C25 58J50 53C27 58J60 PDF BibTeX XML Cite \textit{J.-P. Bourguignon}, in: Proceedings of the workshop on differential geometry and topology, Palermo, Italy, June 3--9, 1996. Palermo: Circolo Matemàtico di Palermo. 51--60 (1997; Zbl 0901.53032) OpenURL
Boyer, Charles P.; Galicki, Krzysztof The twistor space of a 3-Sasakian manifold. (English) Zbl 0887.53043 Int. J. Math. 8, No. 1, 31-60 (1997). Reviewer: B.Kreußler (Kaiserslautern) MSC: 53C25 32L25 53C12 53C15 53C55 14J45 32J18 32J27 PDF BibTeX XML Cite \textit{C. P. Boyer} and \textit{K. Galicki}, Int. J. Math. 8, No. 1, 31--60 (1997; Zbl 0887.53043) Full Text: DOI OpenURL
Galicki, Krzysztof; Salamon, Simon Betti numbers of 3-Sasakian manifolds. (English) Zbl 0859.53031 Geom. Dedicata 63, No. 1, 45-68 (1996). Reviewer: M.Hotloś (Wrocław) MSC: 53C25 53C30 58J20 PDF BibTeX XML Cite \textit{K. Galicki} and \textit{S. Salamon}, Geom. Dedicata 63, No. 1, 45--68 (1996; Zbl 0859.53031) Full Text: DOI OpenURL
Boyer, Charles P.; Galicki, Krzysztof; Mann, Benjamin M. On strongly inhomogeneous Einstein manifolds. (English) Zbl 0862.53038 Bull. Lond. Math. Soc. 28, No. 4, 401-408 (1996). Reviewer: C.-L.Bejan (Iaşi) MSC: 53C25 PDF BibTeX XML Cite \textit{C. P. Boyer} et al., Bull. Lond. Math. Soc. 28, No. 4, 401--408 (1996; Zbl 0862.53038) Full Text: DOI OpenURL
Boyer, Charles P.; Galicki, Krzysztof; Mann, Benjamin M. Quaternionic reduction and Einstein manifolds. (English) Zbl 0856.53038 Commun. Anal. Geom. 1, No. 2, 229-279 (1993). Reviewer: St.Marchiafava (Roma) MSC: 53C25 53C10 PDF BibTeX XML Cite \textit{C. P. Boyer} et al., Commun. Anal. Geom. 1, No. 2, 229--279 (1993; Zbl 0856.53038) Full Text: DOI OpenURL