叶的总绝对曲率有界的3流形上的非正曲率叶

Q3 Mathematics

Proceedings of the International Geometry Center Pub Date : 2019-04-04 DOI:10.15673/TMGC.V11I4.1307

D. Bolotov

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引用次数: 0

摘要

本文引入了黎曼3流形上的一类新的叶形，称为b叶形，它推广了非负曲率叶形的一类。b叶的叶在诱导黎曼度规中具有有界的总绝对曲率。本文描述了b -叶的若干拓扑和几何性质，以及具有非正叶曲率的b -叶的闭取向三维流形的结构。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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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 geometric properties of B-foliations and the structure of closed oriented 3-dimensional manifolds admitting B-foliations with non-positive curvature of leaves.

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来源期刊

Proceedings of the International Geometry Center Mathematics-Geometry and Topology

CiteScore

1.00

自引率

0.00%

发文量

审稿时长

3 weeks