Zobrazeno 1 - 10
of 135
pro vyhledávání: '"Smolentsev N"'
Autor:
Smolentsev, N. K., Chernova, K. V.
Publikováno v:
Tomsk State University Journal of Mathematics and Mechanics, 2024
It is known that there are 34 classes of six-dimensional nilpotent Lie groups, many of which admit left-invariant symplectic and complex structures. Among them there are three classes of groups on which there are no left-invariant symplectic structur
Externí odkaz:
http://arxiv.org/abs/2408.14733
Autor:
Smolentsev, N. K., Sokolova, A. Yu
Publikováno v:
Tomsk State University Journal of Mathematics and Mechanics, 2024
In this article studies questions about the existence of left-invariant K\"{a}hler and semi-para-K\"{a}hler structures on six-dimensional unsolvable Lie groups whose Lie algebras are semidirect products. According to the classification results, there
Externí odkaz:
http://arxiv.org/abs/2408.13736
Autor:
K., Smolentsev N., N, Podkur P.
In this paper, Meyer wavelets with an arbitrary integer scaling factor $N>2$ are defined using wavelets with multiple scaling factors $MN>2$. Expressions for frequency functions of wavelets and corresponding filters are obtained.
Comment: 9 page
Comment: 9 page
Externí odkaz:
http://arxiv.org/abs/2205.00717
A first classification of para-K\"{a}hler structures on four-dimensional Lie algebras was obtained by D. Calvaruzo in 2015. In this paper, we propose another classification based on the classification of symplectic Lie algebras. For each four-dimensi
Externí odkaz:
http://arxiv.org/abs/2008.05664
Autor:
Smolentsev, N. K., Podkur, P. N.
Publikováno v:
SCIENCE EVOLUTION, 2016, vol. 1, no. 1, 63-71
In this paper, the wavelet analysis is used to study the ECG signal. We show that the high-frequency wavelet components of the ECG signal contain information on the functioning of the heart and can be used in diagnosis. We describe the automated clas
Externí odkaz:
http://arxiv.org/abs/1807.09964
Autor:
Smolentsev, N. K.
Publikováno v:
J. Math. and Mech., Tomsk State Univ., 2018, No. 53. pp. 22-38
In this paper we study almost complex and almost para-complex Cayley structures on six-dimensional pseudo-Riemannian spheres in the space of purely imaginary octaves of the split Cayley algebra $\mathbf{Ca}'$. It is shown that the Cayley structures a
Externí odkaz:
http://arxiv.org/abs/1807.08395
Autor:
Smolentsev, N. K.
Publikováno v:
Siberian Math. J. 1986, Vol. 27, No. 1, 120--126
We show the existence of a weak bi-invariant symmetric nondegenerate 2-form on the symplectic diffeomorphisms group $\mathcal{D}_\omega$ of a symplectic Riemannian manifold $(M,g,\omega)$ and study its properties. We describe the Euler's equation on
Externí odkaz:
http://arxiv.org/abs/1402.4920
Autor:
Smolentsev, N. K.
We show the existence of a weak bi-invariant symmetric nondegenerate 2-form on the contact diffeomorphisms group $\mathcal{D}_\theta$ of a contact Riemannian manifold $(M,g,\theta)$ and study its properties. We describe the Euler's equation on a Lie
Externí odkaz:
http://arxiv.org/abs/1402.0967
Autor:
Smolentsev, N. K.
Publikováno v:
Sib. Math. J. 24 (1983), no. 1, 152 - 159
We show the existence of a weak bi-invariant symmetric nondegenerate 2-form on the volume-preserving diffeomorphism group of a three-dimensional manifold and study its properties. Despite the fact that the space $\mathcal{D}_\mu(M^3)$ is infinite-dim
Externí odkaz:
http://arxiv.org/abs/1401.7415
Autor:
Smolentsev, N. K.
Publikováno v:
Transactions of the school-seminar "Analysis, geometry and topology", Russia, Barnaul, 2013, Part 1, P. 95-105. ISBN 978-5-91556-142-6
It is known that there are 34 classes of isomorphic connected simply connected six-dimensional nilpotent Lie groups. Of these, only 26 classes suppose left-invariant symplectic structures \cite{Goze-Khakim-Med}. In \cite{CFU2} it is shown that 14 cla
Externí odkaz:
http://arxiv.org/abs/1311.4248