A delta-Invariant for QR-Submanifolds in Quaternion Space Forms

被引：0

作者：

Macsim, Gabriel ^{[1
]}

Mihai, Adela ^{[2
]}

机构：

[1] Univ Bucharest, Doctoral Sch Math, Acad Str 14, Bucharest 010014, Romania

[2] Tech Univ Civil Engn, Dept Math & Comp Sci, Lacul Tei Bvd 122-124, Bucharest 020396, Romania

来源：

INTERNATIONAL ELECTRONIC JOURNAL OF GEOMETRY | 2018年 / 11卷 / 02期

关键词：

OR-submanifolds; quaternion space forms; delta-invariants;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Starting from an inequality involving the invariant delta(D) for an anti-holomorphic submanifold of a complex space form [1] and using optimization methods on Riemannian manifolds, we establish a corresponding inequality for the invariant delta(D-perpendicular to) defined on QR-submanifolds in quaternion space forms, in terms of the squared mean curvature. We obtain a relationship between intrinsic and extrinsic invariants for QR-submanifolds of quaternion space forms.

引用

页码：8 / 17

页数：10

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