In this paper, the quasi static-approximation on hydrodynamics of compact objects is proposed in $f(R, T)$ gravity, where $R$ scalar curvature and $T$ trace stress-energy tensor, by exploring axial reflection symmetric space time stuffed with anisotropic dissipative matter contents. The set invariant-velocities defined to comprehend concept static-approximation. As a consequence, evolution show...

To understand how protein reduces the conformational space to be searched for the native structure, it is crucial to characterize ensembles of conformations on the way of folding processes, in particular ensembles of relatively long-range structures connecting between an extensively unfolded state and a state with a native-like overall chain topology. To analyze such intermediate conformations,...

1. Introduction and statement of results. The geometry of discrete metric spaces has recently been a very active research area. The motivation comes primarily from two (not completely separate) areas of mathematics. The first is the study of non-compact manifolds equipped with metrics well defined up to uniformly bounded distortion. The equivalence classes of these manifolds arise naturally in ...

Geometric aspects of the filtration on classical links by k-quasi-isotopy are discussed, including the effect of Whitehead doubling and relations with Smythe's n-splitting and Kobayashi's k-contractibility. One observation is: ω-quasi-isotopy is equivalent to PL isotopy for links in a homotopy 3-sphere (resp. contractible open 3-manifold) M if and only if M is homeomorphic to S 3 (resp. R 3). A...

Riemannian foliations occupy an important place in geometry. An excellent survey is A. Haefliger’s Bourbaki seminar [11], and the book of P. Molino [18] is the standard reference for Riemannian foliations. In one of the appendices to this book, E. Ghys proposes the problem of developing a theory of equicontinuous foliated spaces paralleling that of Riemannian foliations; he uses the suggestive ...