A new integral formula for the angle between intersected submanifolds

Abstract Let G be a Lie group and H its subgroup, and M q $M^{q}$ , N r $N^{r}$ two submanifolds of dimensions q, r, respectively, in the Riemannian homogeneous space G / H $G/H$ . A kinematic integral formula for the angle between the two intersected submanifolds is obtained.

Bibliographic Details
Main Authors:	Chunna Zeng, Shikun Bai, Yin Tong
Format:	Article
Language:	English
Published:	SpringerOpen 2016-03-01
Series:	Journal of Inequalities and Applications
Subjects:	kinematic formula integral invariant invariant density angle between two intersected submanifolds
Online Access:	http://link.springer.com/article/10.1186/s13660-016-1028-x

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spelling	doaj-f32d6b65b63241b3a40f0e8814f8db972020-11-24T22:06:26ZengSpringerOpenJournal of Inequalities and Applications1029-242X2016-03-01201611910.1186/s13660-016-1028-xA new integral formula for the angle between intersected submanifoldsChunna Zeng0Shikun Bai1Yin Tong2College of Mathematics Science, Chongqing Normal UniversityCollege of Mathematics Science, Chongqing Normal UniversityCollege of Mathematics Science, Chongqing Normal UniversityAbstract Let G be a Lie group and H its subgroup, and M q $M^{q}$ , N r $N^{r}$ two submanifolds of dimensions q, r, respectively, in the Riemannian homogeneous space G / H $G/H$ . A kinematic integral formula for the angle between the two intersected submanifolds is obtained.http://link.springer.com/article/10.1186/s13660-016-1028-xkinematic formulaintegral invariantinvariant densityangle between two intersected submanifolds
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Chunna Zeng Shikun Bai Yin Tong
spellingShingle	Chunna Zeng Shikun Bai Yin Tong A new integral formula for the angle between intersected submanifolds Journal of Inequalities and Applications kinematic formula integral invariant invariant density angle between two intersected submanifolds
author_facet	Chunna Zeng Shikun Bai Yin Tong
author_sort	Chunna Zeng
title	A new integral formula for the angle between intersected submanifolds
title_short	A new integral formula for the angle between intersected submanifolds
title_full	A new integral formula for the angle between intersected submanifolds
title_fullStr	A new integral formula for the angle between intersected submanifolds
title_full_unstemmed	A new integral formula for the angle between intersected submanifolds
title_sort	new integral formula for the angle between intersected submanifolds
publisher	SpringerOpen
series	Journal of Inequalities and Applications
issn	1029-242X
publishDate	2016-03-01
description	Abstract Let G be a Lie group and H its subgroup, and M q $M^{q}$ , N r $N^{r}$ two submanifolds of dimensions q, r, respectively, in the Riemannian homogeneous space G / H $G/H$ . A kinematic integral formula for the angle between the two intersected submanifolds is obtained.
topic	kinematic formula integral invariant invariant density angle between two intersected submanifolds
url	http://link.springer.com/article/10.1186/s13660-016-1028-x
work_keys_str_mv	AT chunnazeng anewintegralformulafortheanglebetweenintersectedsubmanifolds AT shikunbai anewintegralformulafortheanglebetweenintersectedsubmanifolds AT yintong anewintegralformulafortheanglebetweenintersectedsubmanifolds AT chunnazeng newintegralformulafortheanglebetweenintersectedsubmanifolds AT shikunbai newintegralformulafortheanglebetweenintersectedsubmanifolds AT yintong newintegralformulafortheanglebetweenintersectedsubmanifolds
_version_	1725823722310336512

A new integral formula for the angle between intersected submanifolds

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