Zobrazeno 1 - 10
of 34
pro vyhledávání: '"RAZPOPOV, Dimitar"'
We study hyper-spheres, spheres and circles, with respect to an indefinite metric, in a tangent space on a 4-dimensional differentiable manifold. The manifold is equipped with a positive definite metric and an additional tensor structure of type (1,
Externí odkaz:
http://arxiv.org/abs/2301.03675
Autor:
Razpopov, Dimitar, Dokuzova, Iva
A 4-dimensional Riemannian manifold M, equipped with an additional tensor structure S, whose fourth power is minus identity, is considered. The structure S has a skew-circulant matrix with respect to some basis of the tangent space at a point on M. M
Externí odkaz:
http://arxiv.org/abs/2007.03386
Autor:
Razpopov, Dimitar, Dzhelepov, Georgi
In the present paper we consider a 3-dimensional differentiable manifold $M$ equipped with a Riemannian metric $g$ and an endomorphism $Q$, whose third power is the identity and $Q$ acts as an isometry on $g$. Both structures $g$ and $Q$ determine an
Externí odkaz:
http://arxiv.org/abs/2005.13932
Publikováno v:
Mathematics and Education in Mathematics (ISSN 1313-3330), Proceedings of the 47th Spring Conference of UBM, Borovets, 2018, 115-120
A 4-dimensional Riemannian manifold equipped with an endomorphism of the tangent bundle, whose fourth power is the identity, is considered. The matrix of this structure in some basis is circulant and the structure acts as an isometry with respect to
Externí odkaz:
http://arxiv.org/abs/1801.08307
A 4-dimensional Riemannian manifold equipped with a circulant structure, which is an isometry with respect to the metric and its fourth power is the identity, is considered. The almost product manifold associated with the considered manifold is studi
Externí odkaz:
http://arxiv.org/abs/1703.07988
Autor:
Razpopov, Dimitar1 (AUTHOR) razpopov@au-plovdiv.bg, Dzhelepov, Georgi1 (AUTHOR) dzhelepov@abv.bg, Dokuzova, Iva2 (AUTHOR) dokuzova@uni-plovdiv.bg
Publikováno v:
Axioms (2075-1680). May2023, Vol. 12 Issue 5, p432. 13p.
Autor:
Razpopov, Dimitar
Publikováno v:
In: Proc. of the 44-th Spring Conf. of the UBM, 2-6 April, 2015
We consider a class (M, g, q) of four-dimensional Riemannian manifolds M, where besides the metric g there is an additional structure q, whose fourth power is the unit matrix. We use the existence of a local coordinate system such that there the coor
Externí odkaz:
http://arxiv.org/abs/1409.7622
Publikováno v:
Advances in Mathematics: Scientific Journal. vol. 7, no.1 (2018), 9-16
We consider a 3-dimensional Riemannian manifold M with two circulant structures -- a metric g and an endomorphism q whose third power is identity. The structure q is compatible with g such that an isometry is induced in any tangent space of M. We obt
Externí odkaz:
http://arxiv.org/abs/1308.4834
Autor:
Razpopov, Dimitar
We consider a four dimensional Riemannian manifold M with a metric g and an affinor structure q. We note the local coordinates of g and q are circulant matrices. Their first orders are (A, B, C, B), A, B, C \in FM and (0, 1, 0, 0), respectively. Let
Externí odkaz:
http://arxiv.org/abs/1110.1820
Autor:
Razpopov, Dimitar
We consider a four dimensional Riemannian manifold M with a metric g and an affinor structure q. We note the local coordinates of g and q are circulant matrices. Their first orders are (A, B, C, B)(A, B, C are smooth functions on M) and (0, 1, 0, 0),
Externí odkaz:
http://arxiv.org/abs/1106.2758