3 citations · 3 across the 5 of their papers we have counts for
6 papers
A Restricted Chen-Nagano Variational Principle for the Einstein-Hilbert Functional
Sergey Stepanov, Irina Tsyganok
This paper introduces a restricted Chen-Nagano variational principle for the Einstein-Hilbert functional on compact Riemannian manifolds. Instead of considering arbitrary symmetric…
Spectral Properties of the Chen-Nagano Gauge on Einstein Manifolds
Sergey Stepanov
The stability and deformation theory of Einstein metrics traditionally relies on the classical Berger-Ebin transverse-traceless gauge, which structurally decouples the scalar trace…
Projective Maps from the Perspective of Elliptic Differential Operators
Josef Mikesh, Sergey Stepanov
This paper develops an analytical approach to the study of the geometry of projective maps using the theory of elliptic differential operators. We construct two elliptic operators…
-decomposition of the second fundamental form of a hypersurface in the study of the general relativistic vacuum constraint equations
Sergey E. Stepanov, Irina I. Tsyganok
In present article, we consider a -orthogonal decomposition of the second fundamental form of a closed spacelike hypersurface in a Lorentzian spacetime and its applications to…
The Killing tensors on an -dimensional manifold with -structure
S. E. Stepanov, I. I. Tsyganok
In this paper we solve the problem of finding integrals of equations determining the Killing tensors on an -dimensional differentiable manifold endowed with an equiaffine $…
From Infinitesimal Harmonic Transformations to Ricci Solitons
Sergey E. Stepanov
The concept of the Ricci soliton was introduced by Hamilton. Ricci soliton is defined by vector field and it's a natural generalization of Einstein metric. We have shown earlier th…