125 citations
- Czech Academy of Sciences, Institute of MathematicsCZ40 papers
- Bulgarian Academy of SciencesBG31 papers
- Chinese Academy of SciencesCN5 papers
- Institute of Information TechnologiesBG5 papers
- University of Hong KongHK4 papers
- American University in BulgariaBG3 papers
- Laboratoire de Mathématiques Blaise PascalFR3 papers
- Sofia University "St. Kliment Ohridski"BG3 papers
- Centre de Physique ThéoriqueFR2 papers
- Centre National de la Recherche ScientifiqueFR2 papers
- Département mathématiques, informatique, sciences de la donnée et technologies du numériqueFR2 papers
- Palo Alto Veterans Institute for ResearchUS2 papers
9 papers · 1 filter
Invariants and bonnet-type theorem for surfaces in $\r^4$
Georgi Ganchev, Velichka Milousheva
In the tangent plane at any point of a surface in the four-dimensional Euclidean space we consider an invariant linear map of Weingarten-type and find a geometrically determined mo…
The twistor space of a quaternionic contact manifold
Johann Davidov, Stefan Ivanov, Ivan Minchev
We show that the CR structure on the twistor space of a quaternionic contact structure described by Biquard is normal if and only if the Ricci curvature of the Biquard connection c…
Geometric structures encoded in the Lie structure of an Atiyah algebroid
Janusz Grabowski, Alexei Kotov, Norbert Poncin
We investigate Atiyah algebroids, i.e. the infinitesimal objects of principal bundles, from the viewpoint of Lie algebraic approach to space. First we show that if the Lie algebras…
On the Theory of Surfaces in the Four-dimensional Euclidean Space
Georgi Ganchev, Velichka Milousheva
For a two-dimensional surface in the four-dimensional Euclidean space we introduce an invariant linear map of Weingarten type in the tangent space of the surface, which generates t…
Non-singular solutions to the normalized Ricci flow equation
Fuquan Fang, Yuguang Zhang, Zhenlei Zhang
In this paper we study non-singular solutions of Ricci flow on a closed manifold of dimension at least 4. Amongst others we prove that, if M is a closed 4-manifold on which the nor…
Twistorial construction of generalized Kaehler manifolds
Johann Davidov, Oleg Mushkarov
The twistor method is applied for obtaining examples of generalized Kaehler structures which are not yielded by Kaehler structures.