The aim of the present paper is to characterize almost co-K?hler manifolds whose metrics are Riemann solitons. At first we provide a necessary and sufficient condition for metric 3-dimensional manifold be soliton. Next it proved that if an soliton with vector field ?, then flat. It also shown (?, ?)-almost ? < 0 soliton, expanding satisfies relation. We prove there does not exist gradient so...

Graph Neural Networks (GNNs) have proven to be effective in processing and learning from graph-structured data. However, previous works mainly focused on understanding single graph inputs while many real-world applications require pair-wise analysis for data (e.g., scene matching, code searching, drug-drug interaction prediction). To this end, recent shifted their focus the between pairs of gra...

Co-compact entropy is introduced as an invariant of topological conjugation for perfect mappings defined on any Hausdorff space (compactness and metrizability are not necessarily required). This is achieved through the consideration of co-compact covers of the space. The advantages of co-compact entropy include: (1) it does not require the space to be compact and, thus, generalizes Adler, Konhe...

In this paper, we establish a priori estimates for solutions of general class fully non-linear equations on compact almost Hermitian manifolds. As an application, solve the complex Hessian equation and Monge–Ampère $$(n-1)$$ -plurisubharmonic functions in setting.