4 citations · 9 across the 6 of their papers we have counts for
5 papers · 1 filter
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…