Titlebook: Geometry in History; S. G. Dani,Athanase Papadopoulos Book 2019 Springer Nature Switzerland AG 2019 58-02, 58-03, 14-02, 53-02, 77-02, 30D

MARS

Topology and Biology: From Aristotle to Thom,its own realization. In this article, we expand on these ideas of Thom. At the same time, we highlight some major ideas in the works of Aristotle and Thom in biology and we comment on their conceptions of mathematics and more generally of science.

Inexorable

,René Thom and an Anticipated ,-Principle,ain Thom’s statement and comment about it. The first idea is combinatorial. A beautiful subdivision of the standard simplex emerges from Thom’s article. We connect it with the . technique introduced by W. Thurston in his seminal work on foliations.

Conjuction

Flat Affine, Projective and Conformal Structures on Manifolds: A Historical Perspective,iety .(..(?Σ), .). We briefly survey recent results in flat affine, projective, and conformal structures, in particular the tameness of developing maps and uniqueness of structures with given holonomy.

resistant

The Global Study of Riemannian-Finsler Geometry,resence of convex functions, has been an active field of research in the second half of twentieth century. We discuss some results on Riemannian manifolds with convex functions and their recently proved analogues in the field of Finsler manifolds.

ARBOR