Institutul de Matematică şi Informatică "Vladimir Andrunachievici"
Universitatea de Stat din MoldovaRO EN
On conharmonic curvature tensor of 6-dimensional planar Hermitian submanifolds of Cayley algebra
Authors: Mihail B. Banaru, Galina A. Banaru
Keywords: almost Hermitian structure, conharmonic curvature tensor, Cartan structural equations, 6-dimensional planar submanifold of Cayley algebra.
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Keywords: almost Hermitian structure, conharmonic curvature tensor, Cartan structural equations, 6-dimensional planar submanifold of Cayley algebra.
Abstract
In this paper, we consider the conharmonic curvature tensor of 6- dimensional planar Hermitian submanifolds of the octave algebra. The Hermitian (and in general case, almost Hermitian) structure on a such submanifold is induced by the so-called Gray–Brown 3-fold vector cross products in Cayley algebra. The main result of the work is the calculation of the so-called spectrum of the conharmonic curvature tensor for an arbitrary 6-dimensional planar Hermitian submanifold of the octave algebra. By the concept of the spectrum of a tensor, we mean the minimal set of its components on the space of the associated G-structure that completely determines this tensor.Smolensk State University
4, Przhevalsky Street, Smolensk – 214 000 RUSSIA
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4, Przhevalsky Street, Smolensk – 214 000 RUSSIA
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DOI
https://doi.org/10.56415/basm.y2025.i1.p81Fulltext
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Contents
- Generalized Berezin transform and Schatten class operators on weighted Bergman spaces
- Reverse Hardy inequalities via μ-proportional generalized fractional integral operators
- Some integrals for cosine families of bounded linear operators on some non-Archimedean Banach spaces
- About the Laplace transform on ${{L}^{1}}\left( \mathbb{R^+} \right)$
- Vertical Generalized Berger-type Metrics: A New Perspective on Harmonic Vector Fields
- On conharmonic curvature tensor of 6-dimensional planar Hermitian submanifolds of Cayley algebra
- Completeness of the factor group of a complete topological group and completeness of the factor ring of a complete topological ring by a compact normal subgroup and a compact ideal, respectively.
- Pure and Mixed Stationary Equilibria for Dynamic Positional Games on Graphs
- On 4-T-quasigroups with exactly 20 distinct parastrophes
