4 citations · 6 across the 5 of their papers we have counts for
7 papers
Symplectic analog of Calabi's conjecture for Calabi--Yau threefolds
Dmitry V. Egorov
In this paper we state an analog of Calabi's conjecture proved by Yau. The difference with the classical case is that we propose deformation of the complex structure, whereas the c…
Mirror Kaehler potential on Calabi-Yau threefolds
Dmitry V. Egorov
The classical Kaehler potential is a real-valued function (KP) such that one can determine a Kaehler (symplectic) structure by differentiating KP. We define a mirror Kaehler potent…
Theta-functions on T^2-bundles over T^2 with the Euler class zero
Dmitry V. Egorov
We construct an analogue of the classical theta-function on an Abelian variety for closed 4-dimensional symplectic manifolds which are T^2-bundles over T^2 with the zero Euler clas…
Riemannian Spin(7) holonomy manifold carries octonionic-Kahler structure
Dmitry V. Egorov
We prove that Riemannian holonomy manifolds carry octonionic-Kähler structure.
New equation on the low dimensional Calabi-Yau metrics
Dmitry Egorov
In this paper we introduce a new equation on the compact Kahler manifolds. Solution of this equation corresponds to the Calabi-Yau metric. New equation differs from the Monge--Ampe…
QR-submanifolds and Riemannian metrics with holonomy
Dmitry Egorov
In this note we prove that QR-submanifolds of the hyper-Kahler manifolds under some conditions admit the holonomy. We give simplest examples of such QR-submanifolds namely to…