Open AccessA class of submersions and compatible maps in Finsler geometry
Author(s) -
Mircea Crâşmăreanu
Publication year - 2018
Publication title -
communications faculty of science university of ankara series a1mathematics and statistics
Language(s) - English
Resource type - Journals
ISSN - 1303-5991
DOI - 10.31801/cfsuasmas.472602
Subject(s) - mathematics , class (philosophy) , pure mathematics , finsler manifold , manifold (fluid mechanics) , function (biology) , measure (data warehouse) , mathematical analysis , geometry , computer science , ricci curvature , artificial intelligence , curvature , mechanical engineering , engineering , database , evolutionary biology , biology
We introduce a class of submersions between two Finslerian manifolds and the class of Finsler-compatible maps which contains the previous class. Defining also the notion of stretch it follows an upper bound for the stretch of these submersions. If the support manifold for the considered Finslerian geometries is the same we introduce a new function, called conformality, as a way to measure quantitatively the difference between the given geometries.
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom