3 papers
math.DG2026
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…
math.DG2026
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…
math.DG2026
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…