On Geodesic Points of 6-Dimensional Hermitian Submanifolds of Cayley Algebra [Articol]

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2024

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Abstract

Six-dimensional Hermitian submanifolds of Cayley algebra defined by means of three-fold vector cross products are considered. It is proved that the Weyl tensor of a 6-dimensional Hermitian submanifold of Cayley algebra vanishes at a geodesic point if and only if the scalar curvature at this point also vanishes.

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geodesic point, Hermitian manifold

Citation

BANARU, Mihail and Galina BANARU. On Geodesic Points of 6-Dimensional Hermitian Submanifolds of Cayley Algebra. In: International Conference dedicated to the 60th anniversary of the foundation of Vladimir Andrunachievici Institute of Mathematics and Computer Science, MSU, October 10-13 2024. Chisinau: [S. n.], 2024, pp. 88-41. ISBN 978-9975-68-515-3.

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