Monterde, J. Existence of Lie algebroids on the tangent bundle with a given anchor map of constant rank. (English) Zbl 07730063 Differ. Geom. Appl. 90, Article ID 102040, 14 p. (2023). MSC: 17B66 58A10 53C15 PDF BibTeX XML Cite \textit{J. Monterde}, Differ. Geom. Appl. 90, Article ID 102040, 14 p. (2023; Zbl 07730063) Full Text: DOI
Das, Apurba; Sen, Sourav Nijenhuis operators on Hom-Lie algebras. (English) Zbl 1503.17024 Commun. Algebra 50, No. 3, 1038-1054 (2022). Reviewer: García Rosendo (Guanajuato) MSC: 17B61 17B40 17B70 16S80 PDF BibTeX XML Cite \textit{A. Das} and \textit{S. Sen}, Commun. Algebra 50, No. 3, 1038--1054 (2022; Zbl 1503.17024) Full Text: DOI
Fiorenza, Domenico; Lê, Hông Vân; Schwachhöfer, Lorenz; Vitagliano, Luca Strongly homotopy Lie algebras and deformations of calibrated submanifolds. (English) Zbl 1487.32065 Asian J. Math. 25, No. 3, 341-368 (2021). MSC: 32G10 53C38 17B55 53C29 58D27 PDF BibTeX XML Cite \textit{D. Fiorenza} et al., Asian J. Math. 25, No. 3, 341--368 (2021; Zbl 1487.32065) Full Text: DOI arXiv
Kosmann-Schwarzbach, Yvette From Schouten to Mackenzie: notes on brackets. (English) Zbl 1483.17001 J. Geom. Mech. 13, No. 3, 459-476 (2021). MSC: 17-03 53-03 17B70 16E40 53C15 PDF BibTeX XML Cite \textit{Y. Kosmann-Schwarzbach}, J. Geom. Mech. 13, No. 3, 459--476 (2021; Zbl 1483.17001) Full Text: DOI arXiv
Kawai, Kotaro; Lê, Hông Vân; Schwachhöfer, Lorenz Frölicher-Nijenhuis bracket on manifolds with special holonomy. (English) Zbl 1448.53030 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, 201-215 (2020). MSC: 53C10 53C38 58D17 PDF BibTeX XML Cite \textit{K. Kawai} et al., Fields Inst. Commun. 84, 201--215 (2020; Zbl 1448.53030) Full Text: DOI arXiv
Kiselev, Arthemy V.; Krutov, Andrey O. On the (non)removability of spectral parameters in \(\mathbb{Z}_{2}\)-graded zero-curvature representations and its applications. (English) Zbl 1421.35325 Acta Appl. Math. 160, 129-167 (2019). Reviewer: Ahmed Lesfari (El Jadida) MSC: 35Q53 37K25 58J72 58A50 PDF BibTeX XML Cite \textit{A. V. Kiselev} and \textit{A. O. Krutov}, Acta Appl. Math. 160, 129--167 (2019; Zbl 1421.35325) Full Text: DOI arXiv
Kawai, Kotaro; Lê, Hông Vân; Schwachhöfer, Lorenz Frölicher-Nijenhuis cohomology on \(G_2\)- and \(\mathrm{Spin}(7)\)-manifolds. (English) Zbl 1403.53044 Int. J. Math. 29, No. 12, Article ID 1850075, 36 p. (2018). MSC: 53C29 53C25 17B56 17B66 PDF BibTeX XML Cite \textit{K. Kawai} et al., Int. J. Math. 29, No. 12, Article ID 1850075, 36 p. (2018; Zbl 1403.53044) Full Text: DOI arXiv
Kawai, Kotaro; Lê, Hông Vân; Schwachhöfer, Lorenz The Frölicher-Nijenhuis bracket and the geometry of \(G_2\)-and spin(7)-manifolds. (English) Zbl 1386.53052 Ann. Mat. Pura Appl. (4) 197, No. 2, 411-432 (2018). MSC: 53C29 53C25 PDF BibTeX XML Cite \textit{K. Kawai} et al., Ann. Mat. Pura Appl. (4) 197, No. 2, 411--432 (2018; Zbl 1386.53052) Full Text: DOI arXiv
Kolář, Ivan Some applications of the Mangiarotti-Modugno formula for tangent-valued forms. (English) Zbl 1307.58001 Int. J. Geom. Methods Mod. Phys. 11, No. 7, Article ID 1460022, 9 p. (2014). Reviewer: Basile Guy Richard Bossoto (Brazzaville) MSC: 58A32 53C05 PDF BibTeX XML Cite \textit{I. Kolář}, Int. J. Geom. Methods Mod. Phys. 11, No. 7, Article ID 1460022, 9 p. (2014; Zbl 1307.58001) Full Text: DOI
Bursztyn, Henrique; Drummond, Thiago Lie groupoids and the Frölicher-Nijenhuis bracket. (English) Zbl 1296.22004 Bull. Braz. Math. Soc. (N.S.) 44, No. 4, 709-730 (2013). Reviewer: Marta Macho Stadler (Leioa) MSC: 22A22 PDF BibTeX XML Cite \textit{H. Bursztyn} and \textit{T. Drummond}, Bull. Braz. Math. Soc. (N.S.) 44, No. 4, 709--730 (2013; Zbl 1296.22004) Full Text: DOI arXiv
Heydari, Abbas; Boroojerdian, N.; Peyghan, E. Symmetric curvature tensor. (English) Zbl 1260.53032 Bull. Iran. Math. Soc. 37, No. 3, 249-267 (2011). MSC: 53B05 53B20 53A55 PDF BibTeX XML Cite \textit{A. Heydari} et al., Bull. Iran. Math. Soc. 37, No. 3, 249--267 (2011; Zbl 1260.53032)
Nishimura, Hirokazu Differential geometry of microlinear Frölicher spaces. III. (English) Zbl 1242.58001 Int. J. Pure Appl. Math. 68, No. 1, 99-126 (2011). Reviewer: Andrew Bucki (Edmond) MSC: 58A40 58A03 58A10 PDF BibTeX XML Cite \textit{H. Nishimura}, Int. J. Pure Appl. Math. 68, No. 1, 99--126 (2011; Zbl 1242.58001) Full Text: arXiv Link
Faouzi, Ammar; Kaouthar, Kamoun About the cohomology of the Lie superalgebra of vector fields on \(\mathbb R^{n|n}\). (English) Zbl 1188.17016 Commun. Algebra 37, No. 8, 2679-2687 (2009). Reviewer: Pasha Zusmanovich (Reykjavik) MSC: 17B56 17B66 PDF BibTeX XML Cite \textit{A. Faouzi} and \textit{K. Kaouthar}, Commun. Algebra 37, No. 8, 2679--2687 (2009; Zbl 1188.17016) Full Text: DOI arXiv
Cabras, Antonella; Kolář, Ivan Flow prolongation of some tangent valued forms. (English) Zbl 1174.53312 Czech. Math. J. 58, No. 2, 493-504 (2008). Reviewer: Marco Modugno (Firenze) MSC: 53C05 58A20 PDF BibTeX XML Cite \textit{A. Cabras} and \textit{I. Kolář}, Czech. Math. J. 58, No. 2, 493--504 (2008; Zbl 1174.53312) Full Text: DOI EuDML Link
Janyška, Josef; Modugno, Marco Geometric structures of the classical general relativistic phase space. (English) Zbl 1160.53008 Int. J. Geom. Methods Mod. Phys. 5, No. 5, 699-754 (2008). Reviewer: Miroslav Doupovec (Brno) MSC: 53B30 53B15 53D05 53D17 58A10 58A20 58A32 PDF BibTeX XML Cite \textit{J. Janyška} and \textit{M. Modugno}, Int. J. Geom. Methods Mod. Phys. 5, No. 5, 699--754 (2008; Zbl 1160.53008) Full Text: DOI arXiv
Marvan, Michal; Vinogradov, Alexandre M.; Yumaguzhin, Valery A. Differential invariants of generic hyperbolic Monge-Ampère equations. (English) Zbl 1129.58015 Cent. Eur. J. Math. 5, No. 1, 105-133 (2007). Reviewer: Maido Rahula (Tartu) MSC: 58J70 58J45 PDF BibTeX XML Cite \textit{M. Marvan} et al., Cent. Eur. J. Math. 5, No. 1, 105--133 (2007; Zbl 1129.58015) Full Text: DOI arXiv
Janyška, Josef Geometric structures on the tangent bundle of the Einstein spacetime. (English) Zbl 1164.53318 Arch. Math., Brno 42, No. 2, 195-203 (2006). Reviewer: Ivan Kolář (Brno) MSC: 53B15 53B30 53D05 PDF BibTeX XML Cite \textit{J. Janyška}, Arch. Math., Brno 42, No. 2, 195--203 (2006; Zbl 1164.53318) Full Text: arXiv EuDML EMIS
Mikulski, Włodzimierz M. Prolongation of linear semibasic tangent valued forms to product preserving gauge bundles of vector bundles. (English) Zbl 1131.58002 Extr. Math. 21, No. 3, 273-286 (2006). Reviewer: Witold Mozgawa (Lublin) MSC: 58A05 PDF BibTeX XML Cite \textit{W. M. Mikulski}, Extr. Math. 21, No. 3, 273--286 (2006; Zbl 1131.58002) Full Text: EuDML
Janyška, Josef; Modugno, Marco Graded Lie algebra of Hermitian tangent valued forms. (English) Zbl 1113.53020 J. Math. Pures Appl. (9) 85, No. 5, 687-697 (2006). MSC: 53C07 17B70 53B35 55R10 58A10 PDF BibTeX XML Cite \textit{J. Janyška} and \textit{M. Modugno}, J. Math. Pures Appl. (9) 85, No. 5, 687--697 (2006; Zbl 1113.53020) Full Text: DOI arXiv
Guha, Partha A note on bi-differential calculi and bi-Hamiltonian systems. (English) Zbl 1110.37043 Arch. Math., Brno 40, No. 1, 17-22 (2004). Reviewer: Josef Janyška (Brno) MSC: 37J35 53D17 PDF BibTeX XML Cite \textit{P. Guha}, Arch. Math., Brno 40, No. 1, 17--22 (2004; Zbl 1110.37043) Full Text: EuDML EMIS
Cabras, Antonella; Kolář, Ivan Prolongation of projectable tangent valued forms. (English) Zbl 1090.53031 Arch. Math., Brno 38, No. 4, 243-257 (2002). Reviewer: Josef Janyška (Brno) MSC: 53C05 58A20 PDF BibTeX XML Cite \textit{A. Cabras} and \textit{I. Kolář}, Arch. Math., Brno 38, No. 4, 243--257 (2002; Zbl 1090.53031) Full Text: EuDML EMIS
Kolář, Ivan; Michor, Peter W.; Slovák, Jan Natural operations in differential geometry. Transl. from the English. (Estestvennye operatsii v differentsial’noj geometrii.) (Russian) Zbl 1084.53001 Metody Matematicheskogo Modelirovaniya 10. Kiev: TIMPANI (ISBN 966-7649-10-5/hbk). viii, 447 p. (2001). Reviewer: Liliana Răileanu (Iaşi) MSC: 53-02 53A55 58A20 53C05 58A32 PDF BibTeX XML Cite \textit{I. Kolář} et al., Estestvennye operatsii v differentsial'noj geometrii (Russian). Kiev: TIMPANI (2001; Zbl 1084.53001)
Kureš, Miroslav Affinors and connections in higher order geometry. (English) Zbl 0973.53016 Kolář, Ivan (ed.) et al., Differential geometry and applications. Proceedings of the 7th international conference, DGA 98, and satellite conference of ICM in Berlin, Brno, Czech Republic, August 10-14, 1998. Brno: Masaryk University. 239-246 (1999). Reviewer: D.Demetropoulou-Psomopoulou (Tessaloniki) MSC: 53C05 58A20 PDF BibTeX XML Cite \textit{M. Kureš}, in: Differential geometry and applications. Proceedings of the 7th international conference, DGA 98, and satellite conference of ICM in Berlin, Brno, Czech Republic, August 10--14, 1998. Brno: Masaryk University. 239--246 (1999; Zbl 0973.53016) Full Text: EMIS
Vizman, Cornelia A generalized complex Laplace operator \(\overline{\Delta}_H\). (English) Zbl 1008.58016 An. Univ. Timiș., Ser. Mat.-Inform. 36, No. 1, 139-148 (1998). MSC: 58J05 58A12 58A14 53C15 PDF BibTeX XML Cite \textit{C. Vizman}, An. Univ. Timiș., Ser. Mat.-Inform. 36, No. 1, 139--148 (1998; Zbl 1008.58016)
Kolář, Ivan; Modugno, Marco The Frölicher-Nijenhuis bracket on some functional spaces. (English) Zbl 0982.53024 Ann. Pol. Math. 68, No. 2, 97-106 (1998). MSC: 53C05 58B20 PDF BibTeX XML Cite \textit{I. Kolář} and \textit{M. Modugno}, Ann. Pol. Math. 68, No. 2, 97--106 (1998; Zbl 0982.53024) Full Text: DOI Link
Dubois-Violette, Michel; Michor, Peter W. More on the Frölicher-Nijenhuis bracket in noncommutative differential geometry. (English) Zbl 0889.58011 J. Pure Appl. Algebra 121, No. 2, 107-135 (1997). Reviewer: V.G.Angelov (Sofia) MSC: 46L85 46L87 81Q99 PDF BibTeX XML Cite \textit{M. Dubois-Violette} and \textit{P. W. Michor}, J. Pure Appl. Algebra 121, No. 2, 107--135 (1997; Zbl 0889.58011) Full Text: DOI
Kolář, Ivan Recent results and new ideas on Weil bundles. (English) Zbl 0853.58006 Albu, Adrian C. (ed.) et al., Proceedings of the 24th national conference of geometry and topology, Timişoara, România, July 5-9, 1994. Part one. Lectures. Timişoara: Editura Mirton. 127-136 (1996). Reviewer: M.Marvan (Opava) MSC: 58A20 PDF BibTeX XML Cite \textit{I. Kolář}, in: Proceedings of the 24th national conference of geometry and topology, Timişoara, România, July 5-9, 1994. Part one. Lectures. Timişoara: Editura Mirton. 127--136 (1996; Zbl 0853.58006)
Krasil’shchick, I. S.; Kersten, P. H. M. Graded differential equations and their deformations: A computational theory for recursion operators. (English) Zbl 0841.58033 Acta Appl. Math. 41, No. 1-3, 167-191 (1995). MSC: 37J35 37K10 35Q53 35Q55 35Q58 58J15 58H10 PDF BibTeX XML Cite \textit{I. S. Krasil'shchick} and \textit{P. H. M. Kersten}, Acta Appl. Math. 41, No. 1--3, 167--191 (1995; Zbl 0841.58033) Full Text: DOI
Modugno, M.; Vinogradov, A. M. Some variations on the notion of connection. (English) Zbl 0817.53015 Ann. Mat. Pura Appl., IV. Ser. 167, 33-71 (1994). Reviewer: A.Vondra (Brno) MSC: 53C05 53A20 53A30 PDF BibTeX XML Cite \textit{M. Modugno} and \textit{A. M. Vinogradov}, Ann. Mat. Pura Appl. (4) 167, 33--71 (1994; Zbl 0817.53015) Full Text: DOI
Cap, A.; Kriegl, P.; Michor, P. W.; Vanžura, J. The Frölicher-Nijenhuis bracket in non-commutative differential geometry. (English) Zbl 0830.58002 Acta Math. Univ. Comen., New Ser. 62, No. 1, 17-49 (1993). Reviewer: V.G.Angelov (Sofia) MSC: 46L85 46L87 17B70 17B66 PDF BibTeX XML Cite \textit{A. Cap} et al., Acta Math. Univ. Comen., New Ser. 62, No. 1, 17--49 (1993; Zbl 0830.58002) Full Text: arXiv EuDML EMIS
Cabras, Antonella; Kolář, Ivan Special tangent valued forms and the Frölicher-Nijenhuis bracket. (English) Zbl 0801.53014 Arch. Math., Brno 29, No. 1-2, 71-82 (1993). MSC: 53C05 PDF BibTeX XML Cite \textit{A. Cabras} and \textit{I. Kolář}, Arch. Math., Brno 29, No. 1--2, 71--82 (1993; Zbl 0801.53014) Full Text: EuDML EMIS
Michor, Peter W. The relation between systems and associated bundles. (English) Zbl 0780.53026 Ann. Mat. Pura Appl., IV. Ser. 163, 385-399 (1993). Reviewer: M.Modugno (Firenze) MSC: 53C05 PDF BibTeX XML Cite \textit{P. W. Michor}, Ann. Mat. Pura Appl. (4) 163, 385--399 (1993; Zbl 0780.53026) Full Text: DOI arXiv
Kolář, Ivan; Michor, Peter W.; Slovák, Jan Natural operations in differential geometry. (English) Zbl 0782.53013 Berlin: Springer-Verlag. vi, 434 p. (corrected electronic version) (1993). Reviewer: M.de León (Madrid) MSC: 53A55 58A20 53C05 53-02 PDF BibTeX XML Cite \textit{I. Kolář} et al., Natural operations in differential geometry. Berlin: Springer-Verlag (1993; Zbl 0782.53013) Full Text: EMIS
Mimura, Fumitake; Nôno, Takayuki A geometric approach to a second-order system of partial differential equations within the context of the calculus on vector-valued differential forms. (English) Zbl 0788.58020 Tensor, New Ser. 51, No. 3, 283-300 (1992). Reviewer: J.Monterde (Burjasot) MSC: 58E30 70H33 58A20 53A55 PDF BibTeX XML Cite \textit{F. Mimura} and \textit{T. Nôno}, Tensor, New Ser. 51, No. 3, 283--300 (1992; Zbl 0788.58020)
Kolář, Ivan; Modugno, Marco Torsions of connections on some natural bundles. (English) Zbl 0783.53021 Differ. Geom. Appl. 2, No. 1, 1-16 (1992). Reviewer: K.Marathe (Brooklyn) MSC: 53C05 53B15 55R15 PDF BibTeX XML Cite \textit{I. Kolář} and \textit{M. Modugno}, Differ. Geom. Appl. 2, No. 1, 1--16 (1992; Zbl 0783.53021) Full Text: DOI
Krasil’shchik, I. S. Some new cohomological invariants for nonlinear differential equations. (English) Zbl 0765.58028 Differ. Geom. Appl. 2, No. 4, 307-350 (1992). Reviewer: I.S.Krasil’shchik (Moskva) MSC: 58J10 58J72 35Q53 58H10 PDF BibTeX XML Cite \textit{I. S. Krasil'shchik}, Differ. Geom. Appl. 2, No. 4, 307--350 (1992; Zbl 0765.58028) Full Text: DOI
Vanžura, Jiří Derived algebra of the Frölicher-Nijenhuis bracket algebra. (English) Zbl 0768.58002 Geometry and physics, Proc. Winter Sch., Srni/Czech. 1990, Suppl. Rend. Circ. Mat. Palermo, II. Ser. 26, 237-243 (1991). Reviewer: P.W.Michor (Wien) MSC: 58A10 17B66 17B70 PDF BibTeX XML Cite \textit{J. Vanžura}, in: Proceedings of the winter school on geometry and physics, held in Srni, Czechoslovakia, 6-13 January, 1990. Palermo: Circolo Matematico di Palermo. 237--243 (1991; Zbl 0768.58002)
Cabras, A.; Canarutto, D. The system of principal connections. (English) Zbl 0759.53017 Rend. Mat. Appl., VII. Ser. 11, No. 4, 849-871 (1991). Reviewer: V.Cruceanu (Iaşi) MSC: 53C05 55R10 58A20 PDF BibTeX XML Cite \textit{A. Cabras} and \textit{D. Canarutto}, Rend. Mat. Appl., VII. Ser. 11, No. 4, 849--871 (1991; Zbl 0759.53017)
Janyška, Josef Natural operations with projectable tangent valued forms on a fibred manifold. (English) Zbl 0754.58012 Ann. Mat. Pura Appl., IV. Ser. 159, 171-187 (1991). Reviewer: J.Chrastina (Brno) MSC: 37J99 57R15 58A99 58A20 PDF BibTeX XML Cite \textit{J. Janyška}, Ann. Mat. Pura Appl. (4) 159, 171--187 (1991; Zbl 0754.58012) Full Text: DOI
Michor, Peter W. Gauge theory for fiber bundles. (English) Zbl 0953.53001 Monographs and Textbooks in Physical Science. Lecture Notes. 19. Naples: Bibliopolis. iv, 109 p. (1991). Reviewer: Bernd Wegner (Berlin) MSC: 53-02 58D05 58B20 53C05 PDF BibTeX XML Cite \textit{P. W. Michor}, Gauge theory for fiber bundles. Naples: Bibliopolis (1991; Zbl 0953.53001)
Michor, Peter W.; Schicketanz, Hubert A cohomology for vector valued differential forms. (English) Zbl 0654.58003 Ann. Global Anal. Geom. 7, No. 3, 163-169 (1989). Reviewer: H.Schicketanz MSC: 58A10 17B70 58A12 17B56 PDF BibTeX XML Cite \textit{P. W. Michor} and \textit{H. Schicketanz}, Ann. Global Anal. Geom. 7, No. 3, 163--169 (1989; Zbl 0654.58003) Full Text: DOI arXiv
Michor, Peter W. Remarks on the Frölicher-Nijenhuis bracket. (English) Zbl 0633.53024 Differential geometry and its applications, Proc. Conf., Brno/Czech. 1986, Math. Appl., East Eur. Ser. 27, 197-220 (1987). Reviewer: S.I.Andersson MSC: 53A55 53-02 PDF BibTeX XML