4 citations · 5 across the 5 of their papers we have counts for
5 papers
H-projectively Equivalent Kahler Manifolds and Gravitational Instantons
Dmitry A. Kalinin
The goal of the present paper is to investigate four dimensional Kahler manifolds admitting H-projective mappings with special attention to Einstein-Kahler manifolds of this type w…
On Quantization of Polynomial Momentum Observables
Dmitry A. Kalinin
The paper is devoted to quantization of polynomial momentum observables in the cotangent bundle of a smooth manifold. A quantization procedure is proposed allowing to quantize a wi…
Large Quantum mechanics in curved space and quantization of polynomial Hamiltonians
D. A. Kalinin
The quantization of a single particle without spin in an appropriate curved space-time is considered. The Hamilton formalism on reduced space for a particle in a curved space-time…
H-projectively-equivalent four-dimensional Kahler manifolds
Dmitry A. Kalinin
The paper is devoted to the investigation of four-dimensional Kahler manifolds admitting non-affine H-projective mappings. We find all such manifolds which are non-Einstein. In the…
Hamilton dynamics and -planar curves
D. A. Kalinin
Hamilton flows on Kähler manifold for which all trajectories are -planar curves (complex analog of geodesics) are considered. These flows are called -planar. The equation whi…