Djabri, Rabah Different characterizations of curvature in the context of Lie algebroids. (English) Zbl 07960120 J. Korean Math. Soc. 61, No. 5, 923-951 (2024). Reviewer: Angela Gammella-Mathieu (Metz) MSC: 53D17 × Cite Format Result Cite Review PDF Full Text: DOI
Chatzistavrakidis, Athanasios; Jonke, Larisa Basic curvature & the Atiyah cocycle in gauge theory. (English) Zbl 07945783 J. Phys. A, Math. Theor. 57, No. 46, Article ID 465401, 57 p. (2024). MSC: 81-XX 53-XX × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sliżewska, Aneta Geometric structures related to a \(W^*\)-algebra. (English) Zbl 07928317 Ptak, Marek (ed.) et al., Operator and matrix theory, function spaces, and applications. Proceedings of the 33rd international workshop on operator theory and its applications, IWOTA 2022, Kraków, Poland, September 6–10, 2022. Cham: Birkhäuser. Oper. Theory: Adv. Appl. 295, 351-364 (2024). MSC: 47C15 22A22 22E65 58B25 58H05 × Cite Format Result Cite Review PDF Full Text: DOI
Prykarpatski, Anatolij K.; Bovdi, Victor A. The Courant type algebroids, the coadjoint orbits, and related integrable flows. (English) Zbl 07919727 Kielanowski, Piotr (ed.) et al., Geometric methods in physics XL, workshop, Białowieża, Poland, June 20–25, 2023. Cham: Birkhäuser. Trends Math., 441-452 (2024). MSC: 37J39 37J35 53D17 53D20 70G45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Biswas, Indranil; Kumar, Pradip; Singh, Anoop A criterion for Lie algebroid connections on a compact Riemann surface. (English) Zbl 1548.14109 Geom. Dedicata 218, No. 4, Paper No. 87, 13 p. (2024). Reviewer: Georg Schumacher (Marburg) MSC: 14H60 32L05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Biswas, Indranil; Singh, Anoop Line bundles on the moduli space of Lie algebroid connections over a curve. (English) Zbl 1544.14012 Bull. Sci. Math. 193, Article ID 103421, 30 p. (2024). Reviewer: Jyoti Dasgupta (Dhanbad) MSC: 14D20 14C22 14H05 14M20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Alfaya, David; Oliveira, André Lie algebroid connections, twisted Higgs bundles and motives of moduli spaces. (English) Zbl 1546.14026 J. Geom. Phys. 201, Article ID 105195, 56 p. (2024). Reviewer: Alfonso Zamora (Madrid) MSC: 14D20 14H60 19E08 14C35 14C15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kydonakis, Georgios; Sun, Hao; Zhao, Lutian Poisson structures on moduli spaces of Higgs bundles over stacky curves. (English) Zbl 07844821 Adv. Geom. 24, No. 2, 163-182 (2024). Reviewer: Alexander Thomas (Villeurbanne) MSC: 14A20 14D20 53D17 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Keshari, Parul; Singh, Anoop A remark on the moduli space of Lie algebroid \(\lambda\)-connections. (English) Zbl 07833340 Commun. Algebra 52, No. 6, 2282-2297 (2024). MSC: 14D20 14C15 14C22 × Cite Format Result Cite Review PDF Full Text: DOI
Kališnik, J. Locally convex bialgebroid of an action Lie groupoid. (English) Zbl 1540.16026 Mediterr. J. Math. 21, No. 1, Paper No. 17, 28 p. (2024). MSC: 16T05 16T10 22A22 46A04 46F05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Rotkiewicz, Mikołaj On some concepts in the theory of Lie algebroids. (English) Zbl 07914673 Kielanowski, Piotr (ed.) et al., Geometric methods in physics XXXIX. Workshop, Białystok, Poland, June 19–25, 2022. Cham: Birkhäuser. Trends Math., 341-350 (2023). Reviewer: Luca Vitagliano (Fisciano) MSC: 58A50 58A20 58H05 70G65 58E30 70H50 × Cite Format Result Cite Review PDF Full Text: DOI
del Pino, Álvaro; Witte, Aldo Regularisation of Lie algebroids and applications. (English) Zbl 1543.53074 J. Geom. Phys. 194, Article ID 105023, 33 p. (2023). Reviewer: Iakovos Androulidakis (Athína) MSC: 53D17 53D10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Blohmann, Christian; Schiavina, Michele; Weinstein, Alan A Lie-Rinehart algebra in general relativity. (English) Zbl 1534.70045 Pure Appl. Math. Q. 19, No. 4, 1733-1777 (2023). MSC: 70S05 70G65 83C05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
García-Beltrán, D.; Ruíz-Pantaleón, J. C.; Vorobiev, Yu. Poisson structures on trivial extension algebras. (English) Zbl 07752364 Bull. Braz. Math. Soc. (N.S.) 54, No. 4, Paper No. 54, 45 p. (2023). Reviewer: Albert Sheu (Lawrence) MSC: 17B63 17B60 53D17 16W25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mishchenko, A. S.; Oliveira, J. R. Whitney-Sullivan constructions for transitive Lie algebroids–smooth case. (English) Zbl 1522.57051 Russ. J. Math. Phys. 30, No. 3, 360-374 (2023). MSC: 57N65 14F40 58A12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lavau, Sylvain The modular class of a singular foliation. (English) Zbl 1526.53022 J. Geom. Phys. 192, Article ID 104902, 32 p. (2023). Reviewer: Ruben Louis (Metz) MSC: 53C12 32S65 57R30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Monterde, J. Existence of Lie algebroids on the tangent bundle with a given anchor map of constant rank. (English) Zbl 1542.17045 Differ. Geom. Appl. 90, Article ID 102040, 14 p. (2023). Reviewer: Ruben Louis (Metz) MSC: 17B66 58A10 53C15 × Cite Format Result Cite Review PDF Full Text: DOI
Sheng, Yunhe Categorification of \(\mathsf{VB}\)-Lie algebroids and \(\mathsf{VB}\)-Courant algebroids. (English) Zbl 1517.53073 J. Geom. Mech. 15, No. 1, 27-58 (2023). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 53D17 53D18 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ateşli, Begüm; Esen, Oğul; de León, Manuel; Sardón, Cristina On locally conformally cosymplectic Hamiltonian dynamics and Hamilton-Jacobi theory. (English) Zbl 1536.70017 J. Phys. A, Math. Theor. 56, No. 1, Article ID 015204, 40 p. (2023). Reviewer: Božidar Jovanović (Beograd) MSC: 70H20 70H15 70G45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bi, Yanhui; Fan, Hongtao; Chen, Danlu Nonabelian omni-Lie algebroids. (English) Zbl 1512.17038 Front. Math. China 17, No. 6, 1037-1049 (2022); translation from Adv. Math., Beijing 51, No. 5, 879-890 (2022). Reviewer: Angela Gammella-Mathieu (Metz) MSC: 17B63 53D17 × Cite Format Result Cite Review PDF Full Text: DOI
Eslami Rad, Anahita Lie bialgebroid of pseudo-differential operators. (English) Zbl 1502.37074 J. Nonlinear Math. Phys. 29, No. 4, 869-895 (2022). MSC: 37K30 37K10 22A22 58H05 × Cite Format Result Cite Review PDF Full Text: DOI
Cai, Xiongwei; Chen, Zhuo; Xiang, Maosong The standard cohomology of regular Courant algebroids. (English) Zbl 1504.58005 Adv. Math. 411, Part A, Article ID 108776, 58 p. (2022). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 58A50 53D17 16E45 17B63 17B70 18G40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hirota, Yuji; Ikeda, Noriaki Homotopy momentum sections on multisymplectic manifolds. (English) Zbl 1503.53153 J. Geom. Phys. 182, Article ID 104667, 16 p. (2022). MSC: 53D20 53D05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Das, Apurba Compatible \(L_\infty \)-algebras. (English) Zbl 1508.17028 J. Algebra 610, 241-269 (2022). MSC: 17B56 18N25 18N40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kališnik, J.; Mrčun, J. Convolution bialgebra of a Lie groupoid and transversal distributions. (English) Zbl 1511.16029 J. Geom. Phys. 180, Article ID 104642, 20 p. (2022). Reviewer: Sonia Natale (Córdoba) MSC: 16T05 17B35 22A22 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Liu, Meijun; Liu, Jiefeng; Sheng, Yunhe Deformations and cohomologies of relative Rota-Baxter operators on Lie algebroids and Koszul-Vinberg structures. (English) Zbl 1498.53105 SIGMA, Symmetry Integrability Geom. Methods Appl. 18, Paper 054, 26 p. (2022). MSC: 53D17 53C25 58A12 17B70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Caseiro, Raquel; Laurent-Gengoux, Camille Modular class of Lie \(\infty\)-algebroids and adjoint representations. (English) Zbl 1502.53115 J. Geom. Mech. 14, No. 2, 273-305 (2022). Reviewer: Iakovos Androulidakis (Athína) MSC: 53D17 58H05 53C12 58A50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bursztyn, Henrique; Cabrera, Alejandro; Del Hoyo, Matias Poisson double structures. (English) Zbl 1502.53114 J. Geom. Mech. 14, No. 2, 151-178 (2022). Reviewer: Madeleine Jotz Lean (Würzburg) MSC: 53D17 18N10 58H05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Antunes, P.; Nunes da Costa, J. M. Higher multi-Courant algebroids. (English) Zbl 1506.53087 J. Geom. Phys. 179, Article ID 104605, 16 p. (2022). Reviewer: Marco Zambon (Leuven) MSC: 53D17 17B63 17B70 58A50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cabau, Patrick; Pelletier, Fernand Prolongations of convenient Lie algebroids. (English) Zbl 1506.58009 Math. Phys. Anal. Geom. 25, No. 3, Paper No. 17, 41 p. (2022). Reviewer: Dahye Cho (Seoul) MSC: 58H05 22A22 57R22 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Brahic, Olivier; Zambon, Marco \(L_\infty\)-actions of Lie algebroids. (English) Zbl 1498.58002 Commun. Contemp. Math. 24, No. 4, Article ID 2150013, 62 p. (2022). Reviewer: Anton Galaev (Hradec Králové) MSC: 58A50 53D17 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Laurent-Gengoux, Camille; Ryvkin, Leonid The holonomy of a singular leaf. (English) Zbl 1491.53031 Sel. Math., New Ser. 28, No. 2, Paper No. 45, 38 p. (2022). Reviewer: Iakovos Androulidakis (Athína) MSC: 53C12 53C29 58A50 57R30 14F35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mishra, Satyendra Kumar; Mukherjee, Goutam; Naolekar, Anita Cohomology and deformations of Filippov algebroids. (English) Zbl 1503.17009 Proc. Indian Acad. Sci., Math. Sci. 132, No. 1, Paper No. 2, 25 p. (2022). Reviewer: Iakovos Androulidakis (Athína) MSC: 17A42 17A30 17B55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gasimov, V. A. Hochschild’s method for describing the Mackenzie obstruction to construction of a transitive Lie algebroid. (English) Zbl 1521.22002 Manuilov, Vladimir M. (ed.) et al., Differential equations on manifolds and mathematical physics. Dedicated to the memory of Boris Sternin. Selected papers based on the presentations of the conference on partial differential equations and applications, Moscow, Russia, November 6–9, 2018. Cham: Birkhäuser. Trends Math., 156-164 (2021). MSC: 22A22 58H05 16E40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Marrero, Juan Carlos; de Diego, David Martín; Martínez, Eduardo Local convexity for second order differential equations on a Lie algebroid. (English) Zbl 1477.34028 J. Geom. Mech. 13, No. 3, 477-499 (2021). MSC: 34A26 34B15 17B66 22A22 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Huebschmann, Johannes On the history of Lie brackets, crossed modules, and Lie-Rinehart algebras. (English) Zbl 1548.17001 J. Geom. Mech. 13, No. 3, 385-402 (2021). Reviewer: Timothy Porter (Llandegfan) MSC: 17-03 17B55 01A60 17B66 18G45 12G05 12H05 20J05 53-03 53D17 55Q15 58H05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Marotta, Vincenzo Emilio; Szabo, Richard J. Born sigma-models for para-Hermitian manifolds and generalized T-duality. (English) Zbl 1483.53118 Rev. Math. Phys. 33, No. 9, Article ID 2150031, 98 p. (2021). MSC: 53Z05 53C15 53C12 81T30 81T40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Nazari, Esmail; Heydari, Abbas On contact and symplectic Lie algeroids. (English) Zbl 1480.53041 Iran. J. Math. Sci. Inform. 16, No. 1, 35-53 (2021). MSC: 53C15 53D17 70G45 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Souici-Benhammadi, Zoubida; Kerbrat, Yvan Lie algebroid structures on the 1-jet bundle of a Jacobi manifold. (English) Zbl 1481.58002 Balan, Vladimir (ed.), Proceedings of the international conference on differential geometry and dynamical systems (DGDS-2020), Bucharest, Romania, August, 27–29, 2020. Bucharest: Geometry Balkan Press. BSG Proc. 28, 98-103 (2021). Reviewer: Miroslaw Doupovec (Brno) MSC: 58A20 53D17 58A05 × Cite Format Result Cite Review PDF Full Text: Link
Meinrenken, Eckhard; Pike, Jeffrey The Weil algebra of a double Lie algebroid. (English) Zbl 1486.53098 Int. Math. Res. Not. 2021, No. 11, 8550-8622 (2021). Reviewer: Angela Gammella-Mathieu (Metz) MSC: 53D17 17B63 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Costa, Bruno T.; Forger, Michael; Pêgas, Luiz Henrique P. Lie groupoids in classical field theory. II: Gauge theories, minimal coupling and Utiyama’s theorem. (English) Zbl 1476.70089 J. Geom. Phys. 169, Article ID 104340, 22 p. (2021). MSC: 70S10 58H05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Liu, Jiefeng; Sheng, Yunhe Homotopy Poisson algebras, Maurer-Cartan elements and Dirac structures of CLWX 2-algebroids. (English) Zbl 1508.53084 J. Noncommut. Geom. 15, No. 1, 147-193 (2021). MSC: 53D17 17B63 16T10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bi, Yanhui; Fan, Hongtao Higher nonabelian omni-Lie algebroids. (English) Zbl 1511.17054 J. Geom. Phys. 167, Article ID 104277, 16 p. (2021). MSC: 17B62 53D18 × Cite Format Result Cite Review PDF Full Text: DOI
Guo, Li; Lang, Honglei; Sheng, Yunhe Integration and geometrization of Rota-Baxter Lie algebras. (English) Zbl 1468.17026 Adv. Math. 387, Article ID 107834, 34 p. (2021). MSC: 17B38 17B40 22A22 22E60 81R12 58C35 58H05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Pham, David N. The Lie groupoid analogue of a symplectic Lie group. (English) Zbl 1538.22003 Arch. Math. (Brno) 57, No. 2, 61-81 (2021). Reviewer: Mădălina Buneci (Târgu-Jiu) MSC: 22A22 53D05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dobrogowska, Alina; Jakimowicz, Grzegorz Generalization of the concept of classical \(r\)-matrix to Lie algebroids. (English) Zbl 1480.53103 J. Geom. Phys. 165, Article ID 104227, 15 p. (2021). MSC: 53D55 81R50 × Cite Format Result Cite Review PDF Full Text: DOI
Lang, Honglei; Qiao, Yu; Yin, Yanbin On Lie bialgebroid crossed modules. (English) Zbl 1464.18013 Int. J. Math. 32, No. 4, Article ID 2150021, 25 p. (2021). Reviewer: Iakovos Androulidakis (Athína) MSC: 18G45 17B62 53D17 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Stiénon, Mathieu; Xu, Ping Atiyah classes and Kontsevich-Duflo type theorem for dg manifolds. (English) Zbl 1467.58003 Fialowski, Alice (ed.) et al., Homotopy algebras, deformation theory and quantization. Selected papers based on the presentations at the conference, September 16 and 22, 2018, Poznań, Poland. Warsaw: Polish Academy of Sciences, Institute of Mathematics. Banach Cent. Publ. 123, 63-110 (2021). Reviewer: Andrew Bruce (Esch-sur-Alzette) MSC: 58A50 16E45 18N40 46L65 53D55 53D17 × Cite Format Result Cite Review PDF Full Text: DOI
Peyghan, Esmaeil; Gezer, Aydin; Gultekin, Inci Distinguished connections on Finsler algebroids. (English) Zbl 1466.53029 Chin. Ann. Math., Ser. B 42, No. 1, 41-68 (2021). MSC: 53B40 53B05 17B99 × Cite Format Result Cite Review PDF Full Text: DOI
Gindi, Steven; Streets, Jeffrey Structure of collapsing solutions of generalized Ricci flow. (English) Zbl 1466.53103 J. Geom. Anal. 31, No. 4, 4253-4286 (2021). MSC: 53E20 58J35 53B15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bressler, Paul; Rengifo, Camilo Odd transgression for Courant algebroids. (English) Zbl 1460.53070 J. Geom. Phys. 159, Article ID 103960, 21 p. (2021). MSC: 53D17 81T99 17B99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wang, Qi; Liu, Jiefeng; Sheng, Yunhe Koszul-Vinberg structures and compatible structures on left-symmetric algebroids. (English) Zbl 07816632 Int. J. Geom. Methods Mod. Phys. 17, No. 13, Article ID 2050199, 28 p. (2020). MSC: 17B62 53D17 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Pirbodaghi, Zahra; Rezaii, Morteza Mirmohammad Vanishing theorems on Kähler Lie algebroids. (English) Zbl 07808340 Int. J. Geom. Methods Mod. Phys. 17, No. 4, Article ID 2050059, 17 p. (2020). MSC: 32L05 58A14 32L10 14F17 × Cite Format Result Cite Review PDF Full Text: DOI
Nuiten, Joost Deformations and derived geometry. (English) Zbl 1498.14023 Nieuw Arch. Wiskd. (5) 21, No. 4, 236-239 (2020). Reviewer: Georg Schumacher (Marburg) MSC: 14D15 14F08 18G80 × Cite Format Result Cite Review PDF Full Text: Link
Schätz, Florian; Zambon, Marco Deformations of pre-symplectic structures and the Koszul \(L_\infty\)-algebra. (English) Zbl 1485.53097 Int. Math. Res. Not. 2020, No. 14, 4191-4237 (2020). MSC: 53D05 53D17 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Lang, Honglei; Sheng, Yunhe Linearization of the higher analogue of Courant algebroids. (English) Zbl 1482.53105 J. Geom. Mech. 12, No. 4, 585-606 (2020). MSC: 53D17 53D18 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Grabowska, Katarzyna; Grabowski, Janusz; Kuś, Marek; Marmo, Giuseppe Information geometry on groupoids: the case of singular metrics. (English) Zbl 1480.81018 Open Syst. Inf. Dyn. 27, No. 3, Article ID 2050015, 19 p. (2020). MSC: 81P45 53Z05 53B05 53D17 17B81 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Tarviji, Arezo; Rezaii, Morteza Mirmohammad Dirac operators on Lie algebroids. (English) Zbl 1488.53137 Facta Univ., Ser. Math. Inf. 35, No. 4, 983-993 (2020). MSC: 53C21 53C27 × Cite Format Result Cite Review PDF Full Text: DOI
Ionescu, Alexandru; Munteanu, Gheorghe The warped product of holomorphic Lie algebroids. (English) Zbl 1488.53216 An. Științ. Univ. “Ovidius” Constanța, Ser. Mat. 28, No. 1, 117-134 (2020). MSC: 53D17 17B66 53C60 × Cite Format Result Cite Review PDF Full Text: DOI
Oliveira, Jose R. On the de Rham cohomology of locally trivial Lie groupoids over triangulated manifolds. (English) Zbl 1471.58023 Proc. Int. Geom. Cent. 13, No. 4, 115-124 (2020). MSC: 58H05 55N35 58A12 57T99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ionescu, Ana-Maria; Ionescu, Alexandru The doubly warped product of holomorphic Lie algebroids. (English) Zbl 1493.53105 J. Lie Theory 30, No. 3, 767-778 (2020). MSC: 53D17 17B66 53C60 × Cite Format Result Cite Review PDF Full Text: Link
Amiri, Habib; Glöckner, Helge; Schmeding, Alexander Lie groupoids of mappings taking values in a Lie groupoid. (English) Zbl 1549.22008 Arch. Math. (Brno) 56, No. 5, 307-356 (2020). Reviewer: Daniel Beltiţă (Bucureşti) MSC: 22A22 22E65 22E67 46T10 47H30 58D15 58H05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Peyghan, Esmaeil; Popescu, Liviu Study on geometric structures on Lie algebroids with optimal control applications. (English) Zbl 1441.17021 J. Nonlinear Math. Phys. 27, No. 4, 550-580 (2020). MSC: 17B66 34A26 53C05 49Q99 × Cite Format Result Cite Review PDF Full Text: DOI
Xia, Qianqian A note on invariant generators for generalized subbundles. (English) Zbl 1473.70030 Differ. Geom. Appl. 72, Article ID 101660, 11 p. (2020). MSC: 70G65 70H45 53D17 × Cite Format Result Cite Review PDF Full Text: DOI
Jiménez, V. M.; De León, M.; Epstein, M. On the homogeneity of non-uniform material bodies. (English) Zbl 1450.74002 Segev, Reuven (ed.) et al., Geometric continuum mechanics. Cham: Birkhäuser. (ISBN 978-3-030-42682-8/hbk; 978-3-030-42685-9/pbk; 978-3-030-42683-5/ebook). Advances in Mechanics and Mathematics 43. Advances in Continuum Mechanics, 381-416 (2020). MSC: 74A99 22E70 53Z05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Antunes, P.; Nunes da Costa, J. M. Split Courant algebroids as \(L_\infty\)-structures. (English) Zbl 1446.53064 J. Geom. Phys. 155, Article ID 103790, 18 p. (2020). Reviewer: Cristian Lăzureanu (Timisoara) MSC: 53D17 17B66 17B70 58A50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fernandes, Rui Loja; Michiels, Daan Associativity and integrability. (English) Zbl 1454.58018 Trans. Am. Math. Soc. 373, No. 7, 5057-5110 (2020). Reviewer: Ahmed Lesfari (El Jadida) MSC: 58H05 22A22 22E05 53D17 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bandiera, Ruggero; Chen, Zhuo; Stiénon, Mathieu; Xu, Ping Shifted derived Poisson manifolds associated with Lie pairs. (English) Zbl 1456.53065 Commun. Math. Phys. 375, No. 3, 1717-1760 (2020). MSC: 53D17 17B63 58H05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Rubio, Roberto; Tipler, Carl The Lie group of automorphisms of a Courant algebroid and the moduli space of generalized metrics. (English) Zbl 1448.53081 Rev. Mat. Iberoam. 36, No. 2, 485-536 (2020). Reviewer: Roman Golovko (Praha) MSC: 53D18 22E65 58D05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Schmeding, Alexander The Lie group of vertical bisections of a regular Lie groupoid. (English) Zbl 1453.22008 Forum Math. 32, No. 2, 479-489 (2020). Reviewer: Daniel Beltiţă (Bucureşti) MSC: 22E65 22A22 58D15 58H05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Grady, Ryan; Gwilliam, Owen Lie algebroids as \(L_{\infty}\) spaces. (English) Zbl 1439.58011 J. Inst. Math. Jussieu 19, No. 2, 487-535 (2020). Reviewer: Marta Macho Stadler (Leioa) MSC: 58H15 53D17 14D23 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Laurent-Gengoux, Camille; Wagemann, Friedrich Lie rackoids integrating Courant algebroids. (English) Zbl 1440.53091 Ann. Global Anal. Geom. 57, No. 2, 225-256 (2020). Reviewer: Alexander Schmeding (Bergen) MSC: 53D17 58H05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Attard, J.; François, J.; Lazzarini, S.; Masson, T. Cartan connections and Atiyah Lie algebroids. (English) Zbl 1435.53058 J. Geom. Phys. 148, Article ID 103541, 24 p. (2020). MSC: 53D17 70S15 70S20 83C99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dobrogowska, Alina; Jakimowicz, Grzegorz; Wojciechowicz, Karolina On some deformations of the Poisson structure associated with the algebroid bracket of differential forms. (English) Zbl 1446.53065 Kielanowski, Piotr (ed.) et al., Geometric methods in physics XXXVII. Workshop and summer school, Białowieża, Poland, July 1–7, 2018. Dedicated to Daniel Sternheimer on the occasion of his 80th birthday. Cham: Birkhäuser. Trends Math., 13-23 (2019). MSC: 53D17 37J39 × Cite Format Result Cite Review PDF Full Text: DOI
Cabau, Patrick; Pelletier, Fernand Integrability on direct limits of Banach manifolds. (English. French summary) Zbl 1446.58002 Ann. Fac. Sci. Toulouse, Math. (6) 28, No. 5, 909-956 (2019). Reviewer: Luen-Chau Li (University Park) MSC: 58A30 18A30 46T05 17B66 37K30 22E65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Morales, Víctor Manuel Jiménez; De León, Manuel; Epstein, Marcelo Lie groupoids and algebroids applied to the study of uniformity and homogeneity of material bodies. (English) Zbl 1431.74010 J. Geom. Mech. 11, No. 3, 301-324 (2019). MSC: 74A20 20L05 58Z05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Liu, Jiefeng; Sheng, Yunhe QP-structures of degree 3 and \(\mathsf{CLWX}\) 2-algebroids. (English) Zbl 1435.53061 J. Symplectic Geom. 17, No. 6, 1853-1891 (2019). Reviewer: Cristian Lăzureanu (Timisoara) MSC: 53D17 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lanius, Melinda A classification of star log symplectic structures on a compact oriented surface. (English) Zbl 1477.53103 J. Symplectic Geom. 17, No. 6, 1793-1833 (2019). Reviewer: Albert Sheu (Lawrence) MSC: 53D17 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Peyghan, Esmaeil; Baghban, Amir; Sharahi, Esa Linear Poisson structures and Hom-Lie algebroids. (English) Zbl 1472.17081 Rev. Unión Mat. Argent. 60, No. 2, 299-313 (2019). MSC: 17B63 53D17 × Cite Format Result Cite Review PDF
Nuiten, Joost Homotopical algebra for Lie algebroids. (English) Zbl 1430.18020 Appl. Categ. Struct. 27, No. 5, 493-534 (2019). Reviewer: José Manuel Casas Mirás (Pontevedra) MSC: 18N40 18G35 55U15 55U35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bi, Yanhui; Vitagliano, Luca; Zhang, Tao Higher omni-Lie algebroids. (English) Zbl 1446.17033 J. Lie Theory 29, No. 3, 881-899 (2019). Reviewer: Princy Randriambololondrantomalala (Antananarivo) MSC: 17B66 53D18 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Balcerzak, Bogdan On the Dirac type operators on symmetric tensors. (English) Zbl 1428.58018 Kielanowski, Piotr (ed.) et al., Geometric methods in physics XXXVI. Workshop and summer school, Białowieża, Poland, July 2–8, 2017. Selected papers of the 36th workshop (WGMPXXXVI) and extended abstracts of lectures given at the 6th “School of geometry and physics”. Cham: Birkhäuser. Trends Math., 215-222 (2019). Reviewer: Mircea Crâşmăreanu (Iaşi) MSC: 58H05 17B66 53C05 58J60 58A30 58J70 × Cite Format Result Cite Review PDF Full Text: DOI
Ikeda, Noriaki Momentum sections in Hamiltonian mechanics and sigma models. (English) Zbl 1428.53089 SIGMA, Symmetry Integrability Geom. Methods Appl. 15, Paper 076, 16 p. (2019). Reviewer: Mircea Crâşmăreanu (Iaşi) MSC: 53D20 70H33 70S05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Das, Apurba; Gondhali, Shilpa; Mukherjee, Goutam Nambu structures on Lie algebroids and their modular classes. (English) Zbl 1473.17007 Proc. Indian Acad. Sci., Math. Sci. 129, No. 4, Paper No. 59, 36 p. (2019). MSC: 17A32 17A42 53C15 53D17 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Nuiten, Joost Koszul duality for Lie algebroids. (English) Zbl 1433.14007 Adv. Math. 354, Article ID 106750, 63 p. (2019). Reviewer: Arvid Siqveland (Kongsberg) MSC: 14D15 14F08 18G70 18G35 18D70 18G80 14A20 17B99 53D17 58H05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Fanaï, Hamid-Reza; Hasan-Zadeh, Atefeh An application of Lie groupoids to a rigidity problem of 2-step nilmanifolds. (English) Zbl 1474.53211 Math. Bohem. 144, No. 2, 149-160 (2019). MSC: 53C24 22A22 22F05 × Cite Format Result Cite Review PDF Full Text: DOI Link
Cruz Morales, John Alexander; Torres-Gomez, Alexander On F-algebroids and Dubrovin’s duality. (English) Zbl 1463.53041 Arch. Math., Brno 55, No. 2, 109-122 (2019). Reviewer: Andrew Bucki (Edmond) MSC: 53C15 53D45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Liao, Hsuan-Yi; Stiénon, Mathieu; Xu, Ping Formality and Kontsevich-Duflo type theorems for Lie pairs. (English) Zbl 1417.58012 Adv. Math. 352, 406-482 (2019). MSC: 58H05 22A22 32Q99 53D55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Brahic, Olivier; Ortiz, Cristian Integration of 2-term representations up to homotopy via 2-functors. (English) Zbl 1440.58005 Trans. Am. Math. Soc. 372, No. 1, 503-543 (2019). Reviewer: Marta Macho Stadler (Leioa) MSC: 58H05 22A22 53D17 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dobrogowska, Alina; Jakimowicz, Grzegorz; Szajewska, Marzena; Wojciechowicz, Karolina Deformation of the Poisson structure related to algebroid bracket of differential forms and application to real low dimentional Lie algebras. (English) Zbl 1465.17021 Mladenov, Ivaïlo M. (ed.) et al., Proceedings of the 20th international conference on geometry, integrability and quantization, Sts. Constantine and Elena (near Varna), Bulgaria, June 2–7, 2018. Sofia: Avangard Prima; Sofia: Bulgarian Academy of Sciences, Institute of Biophysics and Biomedical Engineering. Geom. Integrability Quantization 20, 122-130 (2019). Reviewer: Zhuo Chen (Beijing) MSC: 17B63 37K10 53D17 × Cite Format Result Cite Review PDF Full Text: Euclid
Frejlich, Pedro Submersions by Lie algebroids. (English) Zbl 1435.53060 J. Geom. Phys. 137, 237-246 (2019). Reviewer: Madeleine Jotz Lean (Göttingen) MSC: 53D17 55N25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Popescu, Marcela; Popescu, Paul Almost Lie algebroids and characteristic classes. (English) Zbl 1422.53069 SIGMA, Symmetry Integrability Geom. Methods Appl. 15, Paper 021, 12 p. (2019). Reviewer: Albert Sheu (Lawrence) MSC: 53D17 53C05 55R40 58A99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Vishnyakova, Elizaveta Graded manifolds of type \(\Delta\) and \(n\)-fold vector bundles. (English) Zbl 1411.58002 Lett. Math. Phys. 109, No. 2, 243-293 (2019). MSC: 58A50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Pelletier, Fernand; Cabau, Patrick Convenient partial Poisson manifolds. (English) Zbl 1414.53074 J. Geom. Phys. 136, 173-194 (2019). Reviewer: Andrew Bruce (Warszawa) MSC: 53D17 18A30 46T05 17B66 37K30 22E65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Beltiţă, Daniel; Goliński, Tomasz; Jakimowicz, Grzegorz; Pelletier, Fernand Banach-Lie groupoids and generalized inversion. (English) Zbl 1412.22008 J. Funct. Anal. 276, No. 5, 1528-1574 (2019). Reviewer: Marta Macho Stadler (Leioa) MSC: 22A22 58H05 46L05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Merati, S.; Farhangdoost, M. R. Representation up to homotopy of double algebroids and their transgression classes. (English) Zbl 1499.53330 J. Dyn. Syst. Geom. Theor. 16, No. 1, 89-99 (2018). MSC: 53D17 53C12 53C05 × Cite Format Result Cite Review PDF Full Text: DOI
Ionescu, Alexandru Laplace operators on holomorphic Lie algebroids. (English) Zbl 1438.53121 An. Științ. Univ. “Ovidius” Constanța, Ser. Mat. 26, No. 1, 141-158 (2018). MSC: 53D15 58H05 17B66 53B40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Oliveira, Jose R. Mayer-Vietoris sequence in cohomology of Lie algebroids on simplicial complexes. (English) Zbl 1422.58004 Commun. Korean Math. Soc. 33, No. 4, 1357-1366 (2018). Reviewer: Marta Macho Stadler (Leioa) MSC: 58H05 55R10 57T99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Peyghan, E.; Arcuş, C.; Baghban, A.; Sharahi, E. Generalized almost contact structures on Lie algebroids. (English) Zbl 1424.53109 Acta Sci. Math. 84, No. 3-4, 687-704 (2018). MSC: 53D10 × Cite Format Result Cite Review PDF Full Text: DOI
Jóźwikowski, Michał; Rotkiewicz, Mikołaj Higher-order analogs of Lie algebroids via vector bundle comorphisms. (English) Zbl 1407.58003 SIGMA, Symmetry Integrability Geom. Methods Appl. 14, Paper 135, 46 p. (2018). Reviewer: Marta Macho Stadler (Leioa) MSC: 58A20 58A50 58H05 22A22 70G65 58E30 70H50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv