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pro vyhledávání: '"Riemann geometry"'
In this article we aim to obtain the Fisher Riemann geodesics for nonparametric families of probability densities as a weak limit of the parametric case with increasing number of parameters.
Comment: 26 pages, 11 figures
Comment: 26 pages, 11 figures
Externí odkaz:
http://arxiv.org/abs/2402.11071
Akademický článek
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Publikováno v:
Zh. Mat. Fiz. Anal. Geom. 16 (2020), no. 3, 312-363
Let $\mathrm S^3$ be the unit sphere of $\mathbb C^2$ with its standard Cauchy-Riemann (CR) structure. This paper investigates the CR geometry of curves in $\mathrm S^3$ which are transversal to the contact distribution, using the local CR invariants
Externí odkaz:
http://arxiv.org/abs/2004.11350
Autor:
Fock, Vladimir V., Goussard, Pierre
We suggest an index-free formalism allowing to simplify many computations in Riemann geometry. The main ingredients are forms with values in a Clifford algebra and an action of the group $\mathfrak{sl}_2\times \mathfrak{sl}_2$ on such forms.
Com
Com
Externí odkaz:
http://arxiv.org/abs/1810.00239
Autor:
Pogorelov, Victor I.
New perspective form of equations for geodesic lines in Riemann Geometry was found. This method is based on the use of differential forms in differential equations as arguments of differentiation. At that, these forms do not have a requirement of com
Externí odkaz:
http://arxiv.org/abs/1608.03298
Autor:
Jaramillo, José Luis
Publikováno v:
J. Phys. A: Math. Theor. 49, 194005 (2016)
We revisit the discussion of the energetics of quasi-geostrophic flows from a geometric perspective based on the introduction of an effective metric, built in terms of the flow stratification and the Coriolis parameter. In particular, an appropriate
Externí odkaz:
http://arxiv.org/abs/1608.05932
One of effective ways to solve the equivalence problem and describe moduli spaces for real submanifolds in complex space is the normal form approach. In this survey, we outline some normal form constructions in CR-geometry and formulate a number of o
Externí odkaz:
http://arxiv.org/abs/1606.08091
Publikováno v:
In Advances in Mathematics 21 February 2017 308:276-347
Autor:
Dolginov, Arkady Z.
It is taken into account that not the Ricci tensor ${R_{il}}$ (Einstein equation), but the Riemann tensor ${R_{iklm}}$ provides the most general description of the space geometry. If ${{R_{il}}=0}$ (the space empty with matter, but it can be occupied
Externí odkaz:
http://arxiv.org/abs/1410.2781