Niedziałomski, Kamil An integral formula for \(G_2\)-structures. (English) Zbl 07510801 J. Geom. Phys. 176, Article ID 104511, 11 p. (2022). Reviewer: Francesco Cattafi (Würzburg) MSC: 53C10 53C15 PDF BibTeX XML Cite \textit{K. Niedziałomski}, J. Geom. Phys. 176, Article ID 104511, 11 p. (2022; Zbl 07510801) Full Text: DOI OpenURL
Bajpai, Jitendra; Guan, Lifan Boundary and Eisenstein cohomology of \(G_2(\mathbb{Z})\). (English) Zbl 07507099 Res. Math. Sci. 9, No. 2, Paper No. 21, 30 p. (2022). MSC: 11F75 11F70 11F22 11F06 PDF BibTeX XML Cite \textit{J. Bajpai} and \textit{L. Guan}, Res. Math. Sci. 9, No. 2, Paper No. 21, 30 p. (2022; Zbl 07507099) Full Text: DOI OpenURL
Fowdar, Udhav \(S^1\)-invariant Laplacian flow. (English) Zbl 07446091 J. Geom. Anal. 32, No. 1, Paper No. 17, 27 p. (2022). Reviewer: Anna Fino (Torino) MSC: 53C10 53C29 PDF BibTeX XML Cite \textit{U. Fowdar}, J. Geom. Anal. 32, No. 1, Paper No. 17, 27 p. (2022; Zbl 07446091) Full Text: DOI arXiv OpenURL
Hewitt, C. G. Dynamical equilibrium states of a class of irrotational non-orthogonally transitive \(G_2\) cosmologies. I: The conjecture of chaotic cosmological inhomogeneity. (English) Zbl 1482.83133 Classical Quantum Gravity 38, No. 17, Article ID 175004, 23 p. (2021). MSC: 83F05 83C20 11J20 83C55 76M55 83C05 18M10 83C30 PDF BibTeX XML Cite \textit{C. G. Hewitt}, Classical Quantum Gravity 38, No. 17, Article ID 175004, 23 p. (2021; Zbl 1482.83133) Full Text: DOI arXiv OpenURL
Rashidi, Sepehr; Hewitt, C. G.; Charbonneau, Benoit Dynamical equilibrium states of a class of irrotational non-orthogonally transitive \(G_2\) cosmologies. II: Models with one hypersurface-orthogonal Killing vector field. (English) Zbl 1482.83144 Classical Quantum Gravity 38, No. 15, Article ID 155013, 25 p. (2021). MSC: 83F05 83C20 11J20 83C55 76M55 83C05 18M10 83C30 PDF BibTeX XML Cite \textit{S. Rashidi} et al., Classical Quantum Gravity 38, No. 15, Article ID 155013, 25 p. (2021; Zbl 1482.83144) Full Text: DOI arXiv OpenURL
Chihara, Ryohei \(\operatorname{SO}(3)\)-invariant \(G_2\)-cobordisms. (English) Zbl 1476.53053 J. Geom. 112, No. 1, Paper No. 4, 9 p. (2021). Reviewer: Aleksy Tralle (Olsztyn) MSC: 53C15 53C26 57R90 PDF BibTeX XML Cite \textit{R. Chihara}, J. Geom. 112, No. 1, Paper No. 4, 9 p. (2021; Zbl 1476.53053) Full Text: DOI arXiv OpenURL
Li, Yi Local curvature estimates for the Laplacian flow. (English) Zbl 1458.53102 Calc. Var. Partial Differ. Equ. 60, No. 1, Paper No. 28, 37 p. (2021). MSC: 53E99 53C10 PDF BibTeX XML Cite \textit{Y. Li}, Calc. Var. Partial Differ. Equ. 60, No. 1, Paper No. 28, 37 p. (2021; Zbl 1458.53102) Full Text: DOI arXiv OpenURL
Aktay, Şirin On the relation between \(G_2^*\) structures and almost paracontact structures. (English) Zbl 1458.53036 J. Geom. Symmetry Phys. 56, 31-43 (2020). MSC: 53C15 53C25 53D15 PDF BibTeX XML Cite \textit{Ş. Aktay}, J. Geom. Symmetry Phys. 56, 31--43 (2020; Zbl 1458.53036) Full Text: DOI arXiv Euclid OpenURL
Bagaglini, Leonardo; Fernández, Marisa; Fino, Anna Laplacian coflow on the 7-dimensional Heisenberg group. (English) Zbl 1467.53107 Asian J. Math. 24, No. 2, 331-354 (2020). Reviewer: Nicolai K. Smolentsev (Kemerovo) MSC: 53E99 53C15 53C30 PDF BibTeX XML Cite \textit{L. Bagaglini} et al., Asian J. Math. 24, No. 2, 331--354 (2020; Zbl 1467.53107) Full Text: DOI arXiv OpenURL
Grigorian, Sergey Flows of co-closed \(G_2\)-structures. (English) Zbl 1447.53004 Karigiannis, Spiro (ed.) et al., Lectures and surveys on \(G_2\)-manifolds and related topics. Minischool and workshop on \(G_2\)-manifolds, Fields Institute, Toronto, Canada, August 19–25, 2017. New York, NY: Springer. Fields Inst. Commun. 84, 271-286 (2020). MSC: 53-02 53E99 53C38 53C10 PDF BibTeX XML Cite \textit{S. Grigorian}, Fields Inst. Commun. 84, 271--286 (2020; Zbl 1447.53004) Full Text: DOI arXiv OpenURL
Wei, Yong Laplacian flow for closed \(G_2\) structures. (English) Zbl 1447.53008 Karigiannis, Spiro (ed.) et al., Lectures and surveys on \(G_2\)-manifolds and related topics. Minischool and workshop on \(G_2\)-manifolds, Fields Institute, Toronto, Canada, August 19–25, 2017. New York, NY: Springer. Fields Inst. Commun. 84, 253-269 (2020). MSC: 53-02 53E99 53C10 53C38 PDF BibTeX XML Cite \textit{Y. Wei}, Fields Inst. Commun. 84, 253--269 (2020; Zbl 1447.53008) Full Text: DOI OpenURL
Fernández, Marisa; Fino, Anna; Raffero, Alberto On \(G_2\)-structures, special metrics and related flows. (English) Zbl 1447.53003 Karigiannis, Spiro (ed.) et al., Lectures and surveys on \(G_2\)-manifolds and related topics. Minischool and workshop on \(G_2\)-manifolds, Fields Institute, Toronto, Canada, August 19–25, 2017. New York, NY: Springer. Fields Inst. Commun. 84, 235-251 (2020). MSC: 53-02 53C10 53C38 PDF BibTeX XML Cite \textit{M. Fernández} et al., Fields Inst. Commun. 84, 235--251 (2020; Zbl 1447.53003) Full Text: DOI arXiv OpenURL
Fernández, Marisa; Fino, Anna; Raffero, Alberto Exact \(G_2 \)-structures on unimodular Lie algebras. (English) Zbl 1455.53049 Monatsh. Math. 193, No. 1, 47-60 (2020). Reviewer: Viviana del Barco (Orsay) MSC: 53C10 53C30 PDF BibTeX XML Cite \textit{M. Fernández} et al., Monatsh. Math. 193, No. 1, 47--60 (2020; Zbl 1455.53049) Full Text: DOI arXiv OpenURL
Fino, Anna; Raffero, Alberto Remarks on homogeneous solitons of the \(\mathrm{G}_2\)-Laplacian flow. (English) Zbl 1475.53107 C. R., Math., Acad. Sci. Paris 358, No. 4, 401-406 (2020). Reviewer: Simona Druta-Romaniuc (Iaşi) MSC: 53E99 53C30 53C10 PDF BibTeX XML Cite \textit{A. Fino} and \textit{A. Raffero}, C. R., Math., Acad. Sci. Paris 358, No. 4, 401--406 (2020; Zbl 1475.53107) Full Text: DOI arXiv OpenURL
Niedziałomski, Kamil Harmonic \(SU(3)\)- and \(G_2\)-structures via spinors. (English) Zbl 1472.53035 Result. Math. 75, No. 3, Paper No. 118, 18 p. (2020). Reviewer: Eugenia Rosado María (Madrid) MSC: 53C10 53C25 53C27 53C43 PDF BibTeX XML Cite \textit{K. Niedziałomski}, Result. Math. 75, No. 3, Paper No. 118, 18 p. (2020; Zbl 1472.53035) Full Text: DOI arXiv OpenURL
Eastwood, Michael; Nurowski, Paweł Aerobatics of flying saucers. (English) Zbl 1446.53062 Commun. Math. Phys. 375, No. 3, 2335-2365 (2020). Reviewer: Benjamin McKay (Cork) MSC: 53D10 53Z05 32L99 58A15 PDF BibTeX XML Cite \textit{M. Eastwood} and \textit{P. Nurowski}, Commun. Math. Phys. 375, No. 3, 2335--2365 (2020; Zbl 1446.53062) Full Text: DOI arXiv OpenURL
Albuquerque, Rui Self-duality and associated parallel or cocalibrated \(G_2\) structures. (English) Zbl 1437.53032 Ann. Acad. Sci. Fenn., Math. 45, No. 1, 325-342 (2020). MSC: 53C25 53C38 53C20 53C28 53C29 PDF BibTeX XML Cite \textit{R. Albuquerque}, Ann. Acad. Sci. Fenn., Math. 45, No. 1, 325--342 (2020; Zbl 1437.53032) Full Text: DOI arXiv OpenURL
Alekseevsky, Dmitri; Chrysikos, Ioannis; Taghavi-Chabert, Arman Decomposable (4, 7) solutions in eleven-dimensional supergravity. (English) Zbl 1476.83166 Classical Quantum Gravity 36, No. 7, Article ID 075002, 27 p. (2019). MSC: 83E50 83E15 81T32 53C10 53C25 53C50 28A75 35Q61 83C05 PDF BibTeX XML Cite \textit{D. Alekseevsky} et al., Classical Quantum Gravity 36, No. 7, Article ID 075002, 27 p. (2019; Zbl 1476.83166) Full Text: DOI arXiv OpenURL
Fine, Joel; Yau, Chengjian A report on the hypersymplectic flow. (English) Zbl 1436.53077 Pure Appl. Math. Q. 15, No. 4, 1219-1260 (2019). MSC: 53E50 53C26 PDF BibTeX XML Cite \textit{J. Fine} and \textit{C. Yau}, Pure Appl. Math. Q. 15, No. 4, 1219--1260 (2019; Zbl 1436.53077) Full Text: DOI arXiv OpenURL
Lachaud, Gilles The distribution of the trace in the compact group of type \(\mathbf{G}_2\). (English) Zbl 1443.11158 Aubry, Yves (ed.) et al., Arithmetic geometry: computation and applications. 16th international conference on arithmetic, geometry, cryptography, and coding theory, AGC2T, CIRM, Marseille, France, June 19–23, 2017. Proceedings. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 722, 79-103 (2019). MSC: 11L07 14D05 20G41 22E45 60B15 60B20 11K36 33D80 PDF BibTeX XML Cite \textit{G. Lachaud}, Contemp. Math. 722, 79--103 (2019; Zbl 1443.11158) Full Text: DOI OpenURL
Grigorian, Sergey Estimates and Monotonicity for a heat flow of isometric \(G_2\)-structures. (English) Zbl 1423.53025 Calc. Var. Partial Differ. Equ. 58, No. 5, Paper No. 175, 37 p. (2019). MSC: 53C10 53C29 58E30 58E15 PDF BibTeX XML Cite \textit{S. Grigorian}, Calc. Var. Partial Differ. Equ. 58, No. 5, Paper No. 175, 37 p. (2019; Zbl 1423.53025) Full Text: DOI arXiv OpenURL
Podestà, Fabio; Raffero, Alberto On the automorphism group of a closed \(G_2\)-structure. (English) Zbl 1414.53019 Q. J. Math. 70, No. 1, 195-200 (2019). MSC: 53C10 PDF BibTeX XML Cite \textit{F. Podestà} and \textit{A. Raffero}, Q. J. Math. 70, No. 1, 195--200 (2019; Zbl 1414.53019) Full Text: DOI arXiv OpenURL
Bazzoni, Giovanni; Raffero, Alberto Special types of locally conformal closed \(G_2\)-structures. (English) Zbl 1432.53031 Axioms 7, No. 4, Paper No. 90, 14 p. (2018). MSC: 53C10 53C15 53C30 PDF BibTeX XML Cite \textit{G. Bazzoni} and \textit{A. Raffero}, Axioms 7, No. 4, Paper No. 90, 14 p. (2018; Zbl 1432.53031) Full Text: DOI arXiv OpenURL
Ding, Qing; Zhong, Shiping The almost complex structure on \(\mathbb{S}^6\) and related Schrödinger flows. (English) Zbl 1408.32025 Int. J. Math. 29, No. 14, Article ID 1850099, 21 p. (2018). MSC: 32Q60 53C44 PDF BibTeX XML Cite \textit{Q. Ding} and \textit{S. Zhong}, Int. J. Math. 29, No. 14, Article ID 1850099, 21 p. (2018; Zbl 1408.32025) Full Text: DOI arXiv OpenURL
Huang, Hongnian; Wang, Yuanqi; Yao, Chengjian Cohomogeneity-one \(G_2\)-Laplacian flow on the 7-torus. (English) Zbl 1403.53056 J. Lond. Math. Soc., II. Ser. 98, No. 2, 349-368 (2018). Reviewer: Mihail Banaru (Smolensk) MSC: 53C44 53C26 PDF BibTeX XML Cite \textit{H. Huang} et al., J. Lond. Math. Soc., II. Ser. 98, No. 2, 349--368 (2018; Zbl 1403.53056) Full Text: DOI arXiv OpenURL
del Barco, Viviana; Grama, Lino On generalized \(G_2\)-structures and \(T\)-duality. (English) Zbl 1407.53024 J. Geom. Phys. 132, 109-113 (2018). Reviewer: Yurii G. Nikonorov (Volgodonsk) MSC: 53C10 53C15 22E25 17B01 53D18 PDF BibTeX XML Cite \textit{V. del Barco} and \textit{L. Grama}, J. Geom. Phys. 132, 109--113 (2018; Zbl 1407.53024) Full Text: DOI arXiv OpenURL
Özdemir, N.; Aktay, Ş. On the curvature properties of manifolds with deformed \(G_2\) structures. (English. Russian original) Zbl 1394.53033 Math. Notes 103, No. 3, 447-452 (2018); translation from Mat. Zametki 103, No. 3, 437-444 (2018). MSC: 53C10 53C20 PDF BibTeX XML Cite \textit{N. Özdemir} and \textit{Ş. Aktay}, Math. Notes 103, No. 3, 447--452 (2018; Zbl 1394.53033); translation from Mat. Zametki 103, No. 3, 437--444 (2018) Full Text: DOI OpenURL
de la Ossa, Xenia; Larfors, Magdalena; Svanes, Eirik E. The infinitesimal moduli space of heterotic \(G_2\) systems. (English) Zbl 1395.58015 Commun. Math. Phys. 360, No. 2, 727-775 (2018). Reviewer: Nicolai K. Smolentsev (Kemerovo) MSC: 58D27 14D21 53C25 53C80 53C28 81T30 PDF BibTeX XML Cite \textit{X. de la Ossa} et al., Commun. Math. Phys. 360, No. 2, 727--775 (2018; Zbl 1395.58015) Full Text: DOI arXiv OpenURL
Özdemir, Nülifer; Solgun, Mehmet; Aktay, Şirin Almost contact metric structures induced by \(G_2\) structures. (English) Zbl 1424.53085 Turk. J. Math. 41, No. 4, 1072-1086 (2017). MSC: 53C25 53D15 PDF BibTeX XML Cite \textit{N. Özdemir} et al., Turk. J. Math. 41, No. 4, 1072--1086 (2017; Zbl 1424.53085) Full Text: DOI arXiv OpenURL
Cho, Hyunjoo Distributions on almost contact manifolds. (English) Zbl 1399.53126 Acta Math. Sci., Ser. B, Engl. Ed. 37, No. 3, 695-702 (2017). MSC: 53D15 PDF BibTeX XML Cite \textit{H. Cho}, Acta Math. Sci., Ser. B, Engl. Ed. 37, No. 3, 695--702 (2017; Zbl 1399.53126) 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
Fernández, Marisa; Fino, Anna; Raffero, Alberto Locally conformal calibrated \(G_2\)-manifolds. (English) Zbl 1357.53033 Ann. Mat. Pura Appl. (4) 195, No. 5, 1721-1736 (2016). Reviewer: Simon Chiossi (Niteroi) MSC: 53C10 PDF BibTeX XML Cite \textit{M. Fernández} et al., Ann. Mat. Pura Appl. (4) 195, No. 5, 1721--1736 (2016; Zbl 1357.53033) Full Text: DOI arXiv OpenURL
Fernández, Marisa; Fino, Anna; Manero, Víctor Laplacian flow of closed \(G_2\)-structures inducing nilsolitons. (English) Zbl 1344.53041 J. Geom. Anal. 26, No. 3, 1808-1837 (2016). Reviewer: Cornelia-Livia Bejan (Iaşi) MSC: 53C38 53C25 22E25 PDF BibTeX XML Cite \textit{M. Fernández} et al., J. Geom. Anal. 26, No. 3, 1808--1837 (2016; Zbl 1344.53041) Full Text: DOI arXiv OpenURL
Dettweiler, Michael; Schmidt, Johannes Rigid \(G_{2}\)-representations and motives of type \(G_{2}\). (English) Zbl 1346.14027 Isr. J. Math. 212, No. 1, 81-106 (2016). Reviewer: Vladimir P. Kostov (Nice) MSC: 14D05 32S40 20G41 PDF BibTeX XML Cite \textit{M. Dettweiler} and \textit{J. Schmidt}, Isr. J. Math. 212, No. 1, 81--106 (2016; Zbl 1346.14027) Full Text: DOI arXiv OpenURL
Hu, Sen; Hu, Zhi On geometry of the (generalized) \(G_2\)-manifolds. (English) Zbl 1343.53045 Int. J. Mod. Phys. A 30, No. 20, Article ID 1550112, 33 p. (2015). Reviewer: Walter Freyn (Augsburg) MSC: 53C29 53C26 81Q70 PDF BibTeX XML Cite \textit{S. Hu} and \textit{Z. Hu}, Int. J. Mod. Phys. A 30, No. 20, Article ID 1550112, 33 p. (2015; Zbl 1343.53045) Full Text: DOI OpenURL
Lischewski, Andree Supersymmetric gauge theory on a class of cocalibrated \(G_2\)-structures. (English) Zbl 1327.83255 Classical Quantum Gravity 32, No. 11, Article ID 115003, 12 p. (2015). MSC: 83E50 83E30 83C60 83C40 83C05 81V22 81T13 81T60 53Z05 PDF BibTeX XML Cite \textit{A. Lischewski}, Classical Quantum Gravity 32, No. 11, Article ID 115003, 12 p. (2015; Zbl 1327.83255) Full Text: DOI OpenURL
Agricola, Ilka; Höll, Jos Cones of \(G\) manifolds and Killing spinors with skew torsion. (English) Zbl 1319.53043 Ann. Mat. Pura Appl. (4) 194, No. 3, 673-718 (2015). MSC: 53C27 PDF BibTeX XML Cite \textit{I. Agricola} and \textit{J. Höll}, Ann. Mat. Pura Appl. (4) 194, No. 3, 673--718 (2015; Zbl 1319.53043) Full Text: DOI arXiv OpenURL
Fernández, Marisa; Fino, Anna; Manero, Víctor \(G_2\)-structures on Einstein solvmanifolds. (English) Zbl 1321.53050 Asian J. Math. 19, No. 2, 321-342 (2015). Reviewer: V. Gorbatsevich (Moskva) MSC: 53C25 53C38 22E25 53C55 PDF BibTeX XML Cite \textit{M. Fernández} et al., Asian J. Math. 19, No. 2, 321--342 (2015; Zbl 1321.53050) Full Text: DOI arXiv OpenURL
Gayet, Damien Smooth moduli spaces of associative submanifolds. (English) Zbl 1310.53049 Q. J. Math. 65, No. 4, 1213-1240 (2014). MSC: 53C38 53C29 35J56 PDF BibTeX XML Cite \textit{D. Gayet}, Q. J. Math. 65, No. 4, 1213--1240 (2014; Zbl 1310.53049) Full Text: DOI arXiv Link 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
Cho, Hyunjoo; Salur, Sema; Todd, Albert A note on closed \(G_{2}\)-structures and 3-manifolds. (English) Zbl 1318.53017 Turk. J. Math. 38, No. 4, 789-795 (2014). Reviewer: Marco Modugno (Firenze) MSC: 53C10 53C29 PDF BibTeX XML Cite \textit{H. Cho} et al., Turk. J. Math. 38, No. 4, 789--795 (2014; Zbl 1318.53017) Full Text: DOI arXiv Link OpenURL
Grigorian, Sergey Short-time behaviour of a modified Laplacian coflow of \(G_2\)-structures. (English) Zbl 1288.53039 Adv. Math. 248, 378-415 (2013). Reviewer: Iakovos Androulidakis (Athína) MSC: 53C29 53C44 PDF BibTeX XML Cite \textit{S. Grigorian}, Adv. Math. 248, 378--415 (2013; Zbl 1288.53039) Full Text: DOI arXiv OpenURL
Madsen, Thomas Bruun; Salamon, Simon Half-flat structures on \(S^3\times S^3\). (English) Zbl 1285.53038 Ann. Global Anal. Geom. 44, No. 4, 369-390 (2013). Reviewer: Gheorghe Zet (Iaşi) MSC: 53C29 53C25 53C44 83E15 PDF BibTeX XML Cite \textit{T. B. Madsen} and \textit{S. Salamon}, Ann. Global Anal. Geom. 44, No. 4, 369--390 (2013; Zbl 1285.53038) Full Text: DOI arXiv OpenURL
Rubio, Roberto \(B_n\)-generalized geometry and \(G_2^2\)-structures. (English) Zbl 1284.53077 J. Geom. Phys. 73, 150-156 (2013). MSC: 53D18 PDF BibTeX XML Cite \textit{R. Rubio}, J. Geom. Phys. 73, 150--156 (2013; Zbl 1284.53077) Full Text: DOI arXiv OpenURL
Albuquerque, Rui On the characteristic connection of gwistor space. (English) Zbl 1273.53018 Cent. Eur. J. Math. 11, No. 1, 149-160 (2013). Reviewer: Vicente Cortés (Hamburg) MSC: 53C10 53C25 PDF BibTeX XML Cite \textit{R. Albuquerque}, Cent. Eur. J. Math. 11, No. 1, 149--160 (2013; Zbl 1273.53018) Full Text: DOI arXiv OpenURL
Özdemir, Nülifer; Aktay, Şirin Dirac operator on a 7-manifold with deformed \(G_2\) structure. (English) Zbl 1289.53095 An. Științ. Univ. “Ovidius” Constanța, Ser. Mat. 20, No. 3, 83-94 (2012). MSC: 53C25 53C27 53C10 34L40 PDF BibTeX XML Cite \textit{N. Özdemir} and \textit{Ş. Aktay}, An. Științ. Univ. ``Ovidius'' Constanța, Ser. Mat. 20, No. 3, 83--94 (2012; Zbl 1289.53095) OpenURL
Hashimoto, Hideya; Ohashi, Misa Realizations of subgroups of \(G_2\), \(\mathrm{Spin}(7)\) and their applications. (English) Zbl 1273.53046 Adachi, Toshiaki (ed.) et al., Recent progress in differential geometry and its related fields. Proceedings of the 2nd international colloquium on differential geometry and its related fields (ICDG), Veliko Tarnovo, Bulgaria, September 6–10, 2010. Hackensack, NJ: World Scientific (ISBN 978-981-4355-46-9/hbk; 978-981-4355-47-6/ebook). 159-175 (2012). Reviewer: Sergio Console (Torino) MSC: 53C30 22E15 PDF BibTeX XML Cite \textit{H. Hashimoto} and \textit{M. Ohashi}, in: Recent progress in differential geometry and its related fields. Proceedings of the 2nd international colloquium on differential geometry and its related fields (ICDG), Veliko Tarnovo, Bulgaria, September 6--10, 2010. Hackensack, NJ: World Scientific. 159--175 (2012; Zbl 1273.53046) Full Text: DOI OpenURL
Doubrov, Boris; Dunajski, Maciej Co-calibrated \(G_2\) structure from cuspidal cubics. (English) Zbl 1279.53023 Ann. Global Anal. Geom. 42, No. 2, 247-265 (2012). Reviewer: Francisco Vittone (Rosario) MSC: 53C07 PDF BibTeX XML Cite \textit{B. Doubrov} and \textit{M. Dunajski}, Ann. Global Anal. Geom. 42, No. 2, 247--265 (2012; Zbl 1279.53023) Full Text: DOI arXiv OpenURL
Freibert, Marco; Schulte-Hengesbach, Fabian Half-flat structures on decomposable Lie groups. (English) Zbl 1246.53072 Transform. Groups 17, No. 1, 123-141 (2012). Reviewer: A. Arvanitoyeorgos (Patras) MSC: 53C30 17B30 53C29 PDF BibTeX XML Cite \textit{M. Freibert} and \textit{F. Schulte-Hengesbach}, Transform. Groups 17, No. 1, 123--141 (2012; Zbl 1246.53072) Full Text: DOI arXiv OpenURL
Lê, Hông Vân; Munir, Mobeen Classification of compact homogeneous spaces with invariant G\(_2\)-structures. (English) Zbl 1241.53044 Adv. Geom. 12, No. 2, 303-328 (2012). Reviewer: Dmitri Alekseevsky (Moskva) MSC: 53C30 53C10 PDF BibTeX XML Cite \textit{H. V. Lê} and \textit{M. Munir}, Adv. Geom. 12, No. 2, 303--328 (2012; Zbl 1241.53044) Full Text: DOI arXiv OpenURL
Egorov, D. V. QR-submanifolds and Riemannian metrics with holonomy \(G_2\). (English. Russian original) Zbl 1283.53047 Math. Notes 90, No. 5, 763-766 (2011); translation from Mat. Zametki 90, No. 5, 781-784 (2011). MSC: 53C29 53C26 53C40 PDF BibTeX XML Cite \textit{D. V. Egorov}, Math. Notes 90, No. 5, 763--766 (2011; Zbl 1283.53047); translation from Mat. Zametki 90, No. 5, 781--784 (2011) Full Text: DOI OpenURL
Albuquerque, R. Gwistor spaces. (English) Zbl 1243.53048 Herdeiro, Carlos (ed.) et al., XIX international fall workshop on geometry and physics, Porto, Portugal, September 6–9, 2010. Melville, NY: American Institute of Physics (AIP) (ISBN 978-0-7354-0918-7/pbk). AIP Conference Proceedings 1360, 77-81 (2011). Reviewer: Adrian Langer (Warszawa) MSC: 53C10 53C28 PDF BibTeX XML Cite \textit{R. Albuquerque}, AIP Conf. Proc. 1360, 77--81 (2011; Zbl 1243.53048) Full Text: DOI OpenURL
David, Liana The conformal-Killing equation on \(G_{2}\)- and \(\mathrm{Spin}_7\)-structures. (English) Zbl 1230.53044 J. Geom. Phys. 61, No. 6, 1070-1078 (2011). Reviewer: Robert A. Wolak (Kraków) MSC: 53C29 53C25 53C21 53C28 PDF BibTeX XML Cite \textit{L. David}, J. Geom. Phys. 61, No. 6, 1070--1078 (2011; Zbl 1230.53044) Full Text: DOI arXiv OpenURL
Akbulut, Selman; Salur, Sema Mirror duality via \(G_2\) and Spin(7) manifolds. (English) Zbl 1211.53098 Ceyhan, Özgür (ed.) et al., Arithmetic and geometry around quantization. Basel: Birkhäuser (ISBN 978-0-8176-4830-5/hbk; 978-0-8176-4831-2/ebook). Progress in Mathematics 279, 1-21 (2010). Reviewer: Agostino Prástaro (Roma) MSC: 53D37 53C29 PDF BibTeX XML Cite \textit{S. Akbulut} and \textit{S. Salur}, Prog. Math. 279, 1--21 (2010; Zbl 1211.53098) Full Text: DOI arXiv OpenURL
Agricola, Ilka; Friedrich, Thomas A note on flat metric connections with antisymmetric torsion. (English) Zbl 1201.53052 Differ. Geom. Appl. 28, No. 4, 480-487 (2010). Reviewer: Marian Hotloś (Wrocław) MSC: 53C25 81T30 53C10 PDF BibTeX XML Cite \textit{I. Agricola} and \textit{T. Friedrich}, Differ. Geom. Appl. 28, No. 4, 480--487 (2010; Zbl 1201.53052) Full Text: DOI arXiv OpenURL
Robles, Colleen; Salur, Sema Calibrated associative and Cayley embeddings. (English) Zbl 1186.53065 Asian J. Math. 13, No. 3, 287-306 (2009). Reviewer: Witold Mozgawa (Lublin) MSC: 53C38 53C25 58A15 53C10 PDF BibTeX XML Cite \textit{C. Robles} and \textit{S. Salur}, Asian J. Math. 13, No. 3, 287--306 (2009; Zbl 1186.53065) Full Text: DOI arXiv Euclid OpenURL
Albuquerque, R.; Salavessa, I. M. C. The \(G_{2}\) sphere of a 4-manifold. (English) Zbl 1193.53110 Monatsh. Math. 158, No. 4, 335-348 (2009). Reviewer: Marian Hotloś (Wrocław) MSC: 53C25 53C28 53C10 PDF BibTeX XML Cite \textit{R. Albuquerque} and \textit{I. M. C. Salavessa}, Monatsh. Math. 158, No. 4, 335--348 (2009; Zbl 1193.53110) Full Text: DOI arXiv OpenURL
Fino, Anna; Tomassini, Adriano Generalized \(G_2\)-manifolds and \(SU(3)\)-structures. (English) Zbl 1168.53012 Int. J. Math. 19, No. 10, 1147-1165 (2008). Reviewer: Marian Hotloś (Wrocław) MSC: 53C10 53C25 PDF BibTeX XML Cite \textit{A. Fino} and \textit{A. Tomassini}, Int. J. Math. 19, No. 10, 1147--1165 (2008; Zbl 1168.53012) Full Text: DOI arXiv OpenURL
Verbitsky, Misha An intrinsic volume functional on almost complex 6-manifolds and nearly Kähler geometry. (English) Zbl 1156.53045 Pac. J. Math. 235, No. 2, 323-344 (2008). MSC: 53C55 53C43 PDF BibTeX XML Cite \textit{M. Verbitsky}, Pac. J. Math. 235, No. 2, 323--344 (2008; Zbl 1156.53045) Full Text: DOI arXiv OpenURL
Fino, Anna; Chiossi, Simon G. \(G_2\) geometry, solvable Lie groups and (super)symmetries. (English) Zbl 1229.53059 Iglesias Ponte, David (ed.) et al., Proceedings of the XV international workshop on geometry and physics, Puerto de la Cruz, Spain, September 11–16, 2006. Madrid: Real Sociedad Matemática Española (ISBN 978-84-935196-1-2/pbk). Publicaciones de la Real Sociedad Matemática Española 11, 277-281 (2007). MSC: 53C29 53C25 81T30 PDF BibTeX XML Cite \textit{A. Fino} and \textit{S. G. Chiossi}, Publ. R. Soc. Mat. Esp. 11, 277--281 (2007; Zbl 1229.53059) OpenURL
Misra, Aalok (String theory inspired) excursions into (complex) differential geometry of some non-Kähler six-folds and their exceptional uplifts. (English) Zbl 1136.53319 Math. Stud. 74, No. 1-4, 153-170 (2005). MSC: 53C29 53C56 53C80 81T30 32J81 PDF BibTeX XML Cite \textit{A. Misra}, Math. Stud. 74, No. 1--4, 153--170 (2005; Zbl 1136.53319) OpenURL
Misra, Aalok Uplifting the Iwasawa. (English) Zbl 1118.53031 Choi, Kiwoon (ed.) et al., Particles, strings and cosmology. 11th international symposium on particles, strings and cosmology, PASCOS 2005, Gyeongju, Korea, 30 May – 4 June 2005. Melville, NY: American Institute of Physics (AIP) (ISBN 0-7354-0295-7/hbk). AIP Conference Proceedings 805, 370-373 (2005). Reviewer: Iskander A. Taimanov (Novosibirsk) MSC: 53C29 PDF BibTeX XML Cite \textit{A. Misra}, AIP Conf. Proc. 805, 370--373 (2005; Zbl 1118.53031) OpenURL
Cleyton, Richard; Swann, Andrew Cohomogeneity-one \(G_{2}\)-structures. (English) Zbl 1025.53024 J. Geom. Phys. 44, No. 2-3, 202-220 (2002). Reviewer: Jürgen Berndt (Hull) MSC: 53C29 57M50 57S15 53C25 PDF BibTeX XML Cite \textit{R. Cleyton} and \textit{A. Swann}, J. Geom. Phys. 44, No. 2--3, 202--220 (2002; Zbl 1025.53024) Full Text: DOI arXiv OpenURL
Vera, Raül Symmetry-preserving matchings. (English) Zbl 1016.83011 Classical Quantum Gravity 19, No. 20, 5249-5264 (2002). Reviewer: Serguey M.Pokas (Odessa) MSC: 83C05 83C55 PDF BibTeX XML Cite \textit{R. Vera}, Classical Quantum Gravity 19, No. 20, 5249--5264 (2002; Zbl 1016.83011) Full Text: DOI arXiv OpenURL
Chiossi, Simon; Salamon, Simon The intrinsic torsion of \(SU(3)\) and \(G_2\) structures. (English) Zbl 1024.53018 Gil-Medrano, Olga (ed.) et al., Differential geometry. Proceedings of the international conference held in honour of the 60th birthday of A. M. Naveira, Valencia, Spain, July 8-14, 2001. Singapore: World Scientific. 115-133 (2002). Reviewer: C.Apreutesei (Iaşi) MSC: 53C10 53B21 53C15 PDF BibTeX XML Cite \textit{S. Chiossi} and \textit{S. Salamon}, in: Differential geometry. Proceedings of the international conference held in honour of the 60th birthday of A. M. Naveira, Valencia, Spain, July 8--14, 2001. Singapore: World Scientific. 115--133 (2002; Zbl 1024.53018) Full Text: arXiv OpenURL
Barchini, L.; Sepanski, Mark R. Finite-reductive dual pairs in \(G_2\). (English) Zbl 0996.22008 Linear Algebra Appl. 340, No. 1-3, 123-136 (2002). Reviewer: Takeshi Kawazoe (Yokohama) MSC: 22E10 PDF BibTeX XML Cite \textit{L. Barchini} and \textit{M. R. Sepanski}, Linear Algebra Appl. 340, No. 1--3, 123--136 (2002; Zbl 0996.22008) Full Text: DOI OpenURL
Kirichenko, V. F.; Tret’yakova, I. V. On the constant type of almost Hermitian manifolds. (English. Russian original) Zbl 1056.53045 Math. Notes 68, No. 5, 569-575 (2000); translation from Mat. Zametki 68, No. 5, 668-676 (2000). MSC: 53C55 53C15 PDF BibTeX XML Cite \textit{V. F. Kirichenko} and \textit{I. V. Tret'yakova}, Math. Notes 68, No. 5, 569--575 (2000; Zbl 1056.53045); translation from Mat. Zametki 68, No. 5, 668--676 (2000) Full Text: DOI OpenURL
Rylands, L. J.; Taylor, D. E. Constructions for octonion and exceptional Jordan algebras. (English) Zbl 0988.17003 Des. Codes Cryptography 21, No. 1-3, 191-203 (2000). Reviewer: José Antonio Cuenca Mira (Málaga) MSC: 17B05 17C40 17B25 PDF BibTeX XML Cite \textit{L. J. Rylands} and \textit{D. E. Taylor}, Des. Codes Cryptography 21, No. 1--3, 191--203 (2000; Zbl 0988.17003) Full Text: DOI OpenURL
Fernández, Marisa; Ugarte, Luis A differential complex for locally conformal calibrated \(G_2\)-manifolds. (English) Zbl 0949.53038 Ill. J. Math. 44, No. 2, 363-390 (2000). Reviewer: L.Ugarte (Zaragoza) MSC: 53C38 53C15 53C30 PDF BibTeX XML Cite \textit{M. Fernández} and \textit{L. Ugarte}, Ill. J. Math. 44, No. 2, 363--390 (2000; Zbl 0949.53038) OpenURL
Druel, Stéphane Contact structures on five-dimensional algebraic varieties. (Structures de contact sur les variétés algébriques de dimension 5.) (French) Zbl 0921.14028 C. R. Acad. Sci., Paris, Sér. I, Math. 327, No. 4, 365-368 (1998). Reviewer: M.L.Fania (L’Aquila) MSC: 14J40 14J60 14J10 PDF BibTeX XML Cite \textit{S. Druel}, C. R. Acad. Sci., Paris, Sér. I, Math. 327, No. 4, 365--368 (1998; Zbl 0921.14028) Full Text: DOI OpenURL
Joyce, Dominic Compact manifolds with exceptional holonomy. (English) Zbl 0911.53021 Doc. Math., Extra Vol. ICM Berlin 1998, vol. II, 361-370 (1998). Reviewer: D.V.Alekseevsky (Moskva) MSC: 53C20 58J60 53C15 53C25 PDF BibTeX XML Cite \textit{D. Joyce}, Doc. Math. Extra Vol., 361--370 (1998; Zbl 0911.53021) Full Text: EuDML EMIS OpenURL
Friedrich, Th.; Kath, I.; Moroianu, A.; Semmelmann, U. On nearly parallel \(G_2\)-structures. (English) Zbl 0898.53038 J. Geom. Phys. 23, No. 3-4, 259-286 (1997). Reviewer: M.Fernandez (Bilbao) MSC: 53C25 57R15 53C15 PDF BibTeX XML Cite \textit{Th. Friedrich} et al., J. Geom. Phys. 23, No. 3--4, 259--286 (1997; Zbl 0898.53038) Full Text: DOI OpenURL