Carnot–Caratheodory spaces,
metric tangent cone,
quasimetric space,
sub-Riemannian geometry with applications to control theory,
Clebsch–Gordan matrices,
representations of the rotation group,
nonlinear elasticity.
Subject:
sub-Riemannian geometry, geometric control theory, PDEs
Main publications:
Selivanova S.V., “Invariantnaya zapis uravnenii teorii uprugosti”, Zhurn. prikl. matem. i tekh. fiz., 49:5 (2008), 809–822
Selivanova S.V., “Kasatelnyi konus k regulyarnomu
kvazimetricheskomu prostranstvu Karno–Karateodori”, Dokl. AN, 425:5 (2009), 595–599
Selivanova S.V., “Kasatelnyi konus k kvazimetricheskomu
prostranstvu s rastyazheniyami”, Sib. matem. zhurn., 51:2 (2010), 388–403
Selivanova S. V., Vodopyanov S. K., “Algebraic and analytic
properties of quasimetric spaces with dilations”, Complex Analysis and Dynamical Systems IV, Contemporary Mathematics, 553, Amer. Math. Soc., Providence, RI, 2011, 273–294
S. V. Selivanova, “The local geometry of Carnot manifolds at singular points”, Izv. Vyssh. Uchebn. Zaved. Mat., 2011, no. 8, 94–97; Russian Math. (Iz. VUZ), 55:8 (2011), 81–84
S. V. Selivanova, “The tangent cone to a quasimetric space with dilations”, Sibirsk. Mat. Zh., 51:2 (2010), 388–403; Siberian Math. J., 51:2 (2010), 313–324
S. V. Selivanova, “Invariant recording of elasticity theory equations”, Prikl. Mekh. Tekh. Fiz., 49:5 (2008), 127–142; J. Appl. Mech. Tech. Phys., 49:5 (2008), 809–822
S. K. Godunov, S. V. Selivanova, “Experiments on using the resonance effect for spectral analysis of finite-dimensional skew-symmetric operators”, Sib. Zh. Vychisl. Mat., 9:2 (2006), 123–136
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