Hyperbolic Ricci solitons on K-contact manifolds and its applications in spacetimes

Key Points

• Hyperbolic ricci solitons exhibit wave characteristics and relate closely to k-contact metrics.
• Investigations include gradient hyperbolic ricci solitons on quasi-einstein k-contact manifolds within rich curvature contexts.
• The study constructs an example to validate results within various manifold settings, enhancing understanding of geometrical structures.
• Exploring self similar solutions of hyperbolic ricci flow, the research extends implications into the domain of spacetimes.