Temat: vector forms - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: The gradient and the divergence for vector-valued forms
Autorzy:: Klekot, Agnieszka
Pierzchalski, Antoni
Powiązania:: https://bibliotekanauki.pl/articles/2202058.pdf
Data publikacji:: 2023
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:: vector forms
gradient
divergence
Laplacians on vector forms
Weitzenbock type formula
postać wektorowa
dywergencja
Opis:: On a Riemannian manifold, two differential operators: the gradient and the divergence are defined and investigated in the bundle of alternating differential forms of any degree with values in a vector bundle. Several algebraic, analytic and geometric properties of the two operators are derived. The vector character of the gradient on forms turns out to be a source of possible applications.
Źródło:: Journal of Applied Mathematics and Computational Mechanics; 2023, 22, 1; 31--45
2299-9965
Pojawia się w:: Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: Multi-variable quaternionic spectral analysis
Autorzy:: Cho, Ilwoo
Jorgensen, Palle E. T.
Powiązania:: https://bibliotekanauki.pl/articles/2051073.pdf
Data publikacji:: 2021
Wydawca:: Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:: quaternions H
vector spaces Hn over H
q-spectral forms
q-spectral functions
Opis:: In this paper, we consider finite dimensional vector spaces $\mathbb{H}^{n}$ over the ring $\mathbb{H}$ of all quaternions. In particular, we are interested in certain functions acting on Hn , and corresponding functional equations. Our main results show that (i) all quaternions of $\mathbb{H}^{n}$ are classified by the spectra of their realizations under representation, (ii) all vectors of Hn are classified by a canonical extended setting of (i), and (iii) the usual spectral analysis on the matricial ring $M_{n} (C)$ of all $(n \times n)$-matrices over the complex numbers $\mathbb{C}$ has close connections with certain “non-linear” functional equations on $\mathbb{H}^{n}$ up to the classification of (ii).
Źródło:: Opuscula Mathematica; 2021, 41, 3; 335-379
1232-9274
2300-6919
Pojawia się w:: Opuscula Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 3.

Tytuł:: D = 4, N = 1 supergravity in superspace: general overview and technical analysis
Autorzy:: Di Sia, Paolo
Powiązania:: https://bibliotekanauki.pl/articles/1157302.pdf
Data publikacji:: 2018
Wydawca:: Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
Tematy:: Calculus with forms
Differential geometry
Rheonomy
Scalar (Wess-Zumino) multiplets
Supergravity
Superspace
Superstrings
Supersymmetry
Vector multiplets
Opis:: Considering the supersymmetry, the Einstein theory of general relativity brings to supergravity and the superspace gives a geometrical meaning to the supersymmetry transformations. I consider in this work the technical complete construction of D = 4, N = 1 supergravity in a geometrical way, i.e. using superforms in superspace as extension of spinor-tensor calculus. Starting by the pure D = 4, N = 1 supergravity, the coupling with scalar multiplets (multiplets of Wess-Zumino) and vector multiplets is performed. I use the concepts of supersymmetry, superspace and rheonomic principle. Bianchi identities are analyzed and resolved, ending with the Bianchi identity of gravitino. Supergravity theories are the effective theories of superstring theories.
Źródło:: World Scientific News; 2018, 94, 1; 1-71
2392-2192
Pojawia się w:: World Scientific News
Dostawca treści:: Biblioteka Nauki

Artykuł

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