Quantum Flag Manifold $$\sigma $$-Models and Hermitian Ricci Flow

On Bochner Ricci Semi-symmetric Hermitian Manifold

The aim of the present paper is to study a Bochner Ricci semi-symmetric quasi-Einstein Hermitian manifold (QEH)n, a Bochner Ricci semi-symmetric generalised quasi-Einstein Hermitian manifold G(QEH)n and a Bochner Ricci semisymmetric pseudo generalised quasi-Einstein Hermitian manifold P (GQEH)n.

U ( p + 1 ) - invariant Hermitian metrics with Hermitian tensor Ricci on the manifold

Ricci Flow and Quantum Theory

We show how Ricci flow is related to quantum theory via Fisher information and the quantum potential.

Evolution of the first eigenvalue of buckling problem on Riemannian manifold under Ricci flow

Among the eigenvalue problems of the Laplacian, the biharmonic operator eigenvalue problems are interesting projects because these problems root in physics and geometric analysis. The buckling problem is one of the most important problems in physics, and many studies have been done by the researchers about the solution and the estimate of its eigenvalue. In this paper, first, we obtain the evol...

Ricci Flow, Quantum Mechanics and Gravity

It has been argued that, underlying any given quantum–mechanical model, there exists at least one deterministic system that reproduces, after prequantisation, the given quantum dynamics. For a quantum mechanics with a complex d–dimensional Hilbert space, the Lie group SU(d) represents classical canonical transformations on the projective space CP of quantum states. Let R stand for the Ricci flo...