Abstract:
The operations on geometric objects presently known which commute with changes of variables are described, and their properties are discussed.
Citation:
A. A. Kirillov, “Invariant operators over geometric quantities”, Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat., 16, VINITI, Moscow, 1980, 3–29; J. Soviet Math., 18:1 (1982), 1–21
This publication is cited in the following 14 articles:
Alberto S. Cattaneo, “The canonical BV Laplacian on half-densities”, Rev. Math. Phys., 35:06 (2023)
F. M. Malyshev, “Invariant sums of products of differentials”, Moscow University Mathematics Bulletin, Moscow University Mеchanics Bulletin, 78:4 (2023), 198–202
F. M. Malyshev, “Invariantnye differentsialnye polinomy”, Chebyshevskii sb., 24:4 (2023), 212–238
Sofiane Bouarroudj, Dimitry Leites, Irina Shchepochkina, “Analogs of Bol operators on superstrings”, Int. J. Algebra Comput., 32:04 (2022), 807
Ekaterina Shemyakova, “On a Batalin–Vilkovisky operator generating higher Koszul brackets on differential forms”, Lett Math Phys, 111:2 (2021)
F. M. Malyshev, “Bazisy rekurrentnykh posledovatelnostei”, Chebyshevskii sb., 16:2 (2015), 155–185
E. G. Puninskiy, “Natural operators on tensor fields”, Moscow University Mathematics Bulletin, 69:5 (2014), 225–228
Kenji Iohara, Olivier Mathieu, “A Global version of Grozman's theorem”, Math. Z., 274:3-4 (2013), 955
S. Bouarroudj, “Ternary invariant differential operators acting on spaces of weighted
densities”, Theoret. and Math. Phys., 158:2 (2009), 137–150
P. I. Katsylo, D. A. Timashev, “Natural differential operations on manifolds: an algebraic
approach”, Sb. Math., 199:10 (2008), 1481–1503
John Gibbons, Darryl D. Holm, Cesare Tronci, “Geometry of Vlasov kinetic moments: A bosonic Fock space for the symmetric Schouten bracket”, Physics Letters A, 372:23 (2008), 4184
V. Yu. Ovsienko, “Projective Structures and Contact Forms”, Funct. Anal. Appl., 28:3 (1994), 187–197
G. S. Shmelev, “Invariant operators on a symplectic supermanifold”, Math. USSR-Sb., 48:2 (1984), 521–533
D. A. Leites, “Irreducible representations of Lie superalgebras of vector fields and invariant differential operators”, Funct. Anal. Appl., 16:1 (1982), 62–64
Citation in format AMSBIB
Contact us: