Nonpositive curvature foliations on 3-manifolds with bounded total absolute curvature of leaves

In this paper we introduce a new class of foliations on Rie-mannian 3-manifolds, called B-foliations, generalizing the class of foliations of non-negative curvature. The leaves of B-foliations have bounded total absolute curvature in the induced Riemannian metric. We describe several topological and...

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Bibliographic Details
Main Author: Dmytry Bolotov
Format: Article
Language:English
Published: Odesa National University of Technology 2018-12-01
Series:Pracì Mìžnarodnogo Geometričnogo Centru
Subjects:
Online Access:http:////journals.onaft.edu.ua/index.php/geometry/article/view/1307