Non-Riemannian Geometry
1/2012 · Courier Corporation
E‑kniha
192
Počet strán
reportHodnotenia a recenzie nie sú overené Ďalšie informácie
Táto e‑kniha
Non-Riemannian Geometry deals basically with manifolds dominated by the geometry of paths developed by the author, Luther Pfahler Eisenhart, and Oswald Veblen, who were faculty colleagues at Princeton University during the early twentieth century. Eisenhart played an active role in developing Princeton's preeminence among the world's centers for mathematical study, and he is equally renowned for his achievements as a researcher and an educator.
In Riemannian geometry, parallelism is determined geometrically by this property: along a geodesic, vectors are parallel if they make the same angle with the tangents. In non-Riemannian geometry, the Levi-Civita parallelism imposed a priori is replaced by a determination by arbitrary functions (affine connections). In this volume, Eisenhart investigates the main consequences of the deviation.
Starting with a consideration of asymmetric connections, the author proceeds to a contrasting survey of symmetric connections. Discussions of the projective geometry of paths follow, and the final chapter explores the geometry of sub-spaces.
In Riemannian geometry, parallelism is determined geometrically by this property: along a geodesic, vectors are parallel if they make the same angle with the tangents. In non-Riemannian geometry, the Levi-Civita parallelism imposed a priori is replaced by a determination by arbitrary functions (affine connections). In this volume, Eisenhart investigates the main consequences of the deviation.
Starting with a consideration of asymmetric connections, the author proceeds to a contrasting survey of symmetric connections. Discussions of the projective geometry of paths follow, and the final chapter explores the geometry of sub-spaces.
Ohodnoťte túto elektronickú knihu
Povedzte nám svoj názor.
Informácie o dostupnosti
Smartfóny a tablety
Nainštalujte si aplikáciu Knihy Google Play pre Android a iPad/iPhone. Automaticky sa synchronizuje s vaším účtom a umožňuje čítať online aj offline, nech už ste kdekoľvek.
Laptopy a počítače
Audioknihy zakúpené v službe Google Play môžete počúvať prostredníctvom webového prehliadača v počítači.
Čítačky elektronických kníh a ďalšie zariadenia
Ak chcete tento obsah čítať v zariadeniach využívajúcich elektronický atrament, ako sú čítačky e‑kníh Kobo, musíte stiahnuť príslušný súbor a preniesť ho do svojho zariadenia. Pri prenose súborov do podporovaných čítačiek e‑kníh postupujte podľa podrobných pokynov v centre pomoci.
