Search Results - "Mushkarov, Oleg"

Partial Integrability of Compatible Almost Complex Structures on Twistor Spaces by Mushkarov, Oleg

“…In this paper, we study the problem for local existence of holomorphic functions on the twistor space of an oriented Riemannian four-manifold endowed with an…”
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Partially Integrable Almost Complex Structures by Mushkarov, Oleg

“…We review some old and new results on the problem of local existence of holomorphic functions on almost complex manifolds…”
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Curvature Properties of Twistor Spaces by Davidov, Johann, Mushkarov, Oleg

“…We review some results on the Riemannian and almost Hermitian geometry of twistor spaces of oriented Riemannian -manifolds with emphasis on their curvature…”
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Harmonicity of the Atiyah–Hitchin–Singer and Eells–Salamon almost complex structures by Davidov, Johann, Mushkarov, Oleg

“…In this paper, we describe the oriented Riemannian four-manifolds M for which the Atiyah–Hitchin–Singer or Eells–Salamon almost complex structure on the…”
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Napoleon Polygons by Titu Andreescu, Vladimir Georgiev, and Oleg Mushkarov, Vladimir Georgiev, Oleg Mushkarov

“…An \documentclass{article}\pagestyle{empty}\begin{document}$n$\end{document} -gon is called Napoleon if the centers of the regular…”
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Quadratic Forms, Chebyshev Polynomials, and Geometric Inequalities by Andreescu, Titu, Mushkarov, Oleg

“…We discuss a geometric inequality for 2n-gons proved in [Mushkarov, O., Nikolov N. (2006). Semiregular polygons. Amer. Math. Monthly. 113(4): 339-344] and show…”
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Almost complex structures that are harmonic maps by Davidov, Johann, Haq, Absar Ul, Mushkarov, Oleg

“…We find geometric conditions on a four-dimensional almost Hermitian manifold under which the almost complex structure is a harmonic map or a minimal isometric…”
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Compact complex surfaces with geometric structures related to split quaternions by Davidov, Johann, Grantcharov, Gueo, Mushkarov, Oleg, Yotov, Miroslav

“…We study the problem of existence of geometric structures on compact complex surfaces that are related to split quaternions. These structures, called…”
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Correction to “Napoleon Polygons” by Titu Andreescu, Vladimir Georgiev, Oleg Mushkarov

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Compatible almost complex structures on twistor spaces and their Gray–Hervella classes by Ali, Danish, Davidov, Johann, Mushkarov, Oleg

“…In this paper we determine the Gray–Hervella classes of the compatible almost complex structures on the twistor spaces of oriented Riemannian four-manifolds…”
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Titu Andreescu, Vladimir Georgiev, and Oleg Mushkarov, Vladimir Georgiev, Oleg Mushkarov by Andreescu, Titu, Georgiev, Vladimir, Mushkarov, Oleg

“…An $n$ -gon is called Napoleon if the centers of the regular $n$ -gons erected outwardly on its sides are vertices of a regular $n$ -gon. In this paper we…”
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Areas associated to a quadrilateral by Mushkarov, Oleg, Nikolov, Nikolai

“…Mathematics and Informatics 66 (2023), 443-451 We study the relationship between the areas of the consecutive quadrilaterals cut from a convex quadrilateral in…”
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Generalized Pseudo-Kähler Structures by Davidov, Johann, Grantcharov, Gueo, Mushkarov, Oleg, Yotov, Miroslav

“…In this paper we consider pseudo-bihermitian structures – pairs of complex structures compatible with a pseudo-Riemannian metric. We establish relations of…”
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Twistorial construction of generalized Kähler manifolds by Davidov, Johann, Mushkarov, Oleg

“…The twistor method is applied for obtaining examples of generalized Kähler structures which are not yielded by Kähler structures…”
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Lipschitzness of the width and diameter functions of convex bodies in $\mathbb R^n by Mushkarov, Oleg, Nikolov, Nikolai, Thomas, Pascal J

“…Lipschitz constants for the width and diameter functions of a convex body in $\mathbb R^n$ are found in terms of its diameter and thickness (maximum and…”
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Curvature properties of twistor spaces by Davidov, Johann, Mushkarov, Oleg

“…Proceedings of the Steklov Institute of Mathematics 311 (2020); in Russian, pp. 84-105, in English, pp. 78-97 In this paper we review some results on the…”
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Twistor spaces of generalized complex structures by Davidov, Johann, Mushkarov, Oleg

“…The twistor construction is applied for obtaining examples of generalized complex structures (in the sense of Hitchin) that are not induced by a complex or a…”
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Complex surfaces and null conformal Killing vector fields by Davidov, Johann, Grantcharov, Gueo, Mushkarov, Oleg

“…We study the relation between the existence of null conformal Killing vector fields and existence of compatible complex and para-hypercomplex structures on a…”
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Semiregular Polygons by Mushkarov, Oleg, Nikolov, Nikolai

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Harmonicity of the Atiyah-Hitchin-Singer and Eells-Salamon almost complex structures by Davidov, Johann, Mushkarov, Oleg

“…Ann. Mat. Pure Appl. 197 (2018), 185-209 In this paper we describe the oriented Riemannian four-manifolds $M$ for which the Atiyah-Hitchin-Singer or…”
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