Manifolds with non-negative bakry-émery ricci curvature and minimal boundary

Ning Yang; Jia Ping Wang

doi:10.1090/proc/14418

Manifolds with non-negative bakry-émery ricci curvature and minimal boundary

Ning Yang, Jia Ping Wang

Mathematics

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

In this note, we prove that a non-compact Riemannian manifold M with non-negative Bakry-Émery Ricci curvature and compact minimal boundary ?M is the isometric product ∂M ×[0,∞), provided that the potential function is bounded from above and has non-negative derivatives at ∂M along inner normal directions.

Original language	English (US)
Pages (from-to)	2207-2212
Number of pages	6
Journal	Proceedings of the American Mathematical Society
Volume	147
Issue number	5
DOIs	https://doi.org/10.1090/proc/14418
State	Published - May 2019

Bibliographical note

Funding Information:
Received by the editors August 17, 2018, and, in revised form, October 2, 2018. 2010 Mathematics Subject Classification. Primary 53C20, 53C21. The author was partially supported by the Natural Science Research grant 17KJD110007 for Institutions of Higher Education of Jiangsu Province, China.

Publisher Copyright:
© 2019 American Mathematical Society.

Access

10.1090/proc/14418

OpenUrl availability

Full text

Cite this

@article{98d1cf7c34e24798a5081facc9ce910b,

title = "Manifolds with non-negative bakry-{\'e}mery ricci curvature and minimal boundary",

abstract = "In this note, we prove that a non-compact Riemannian manifold M with non-negative Bakry-{\'E}mery Ricci curvature and compact minimal boundary ?M is the isometric product ∂M ×[0,∞), provided that the potential function is bounded from above and has non-negative derivatives at ∂M along inner normal directions.",

author = "Ning Yang and Wang, {Jia Ping}",

note = "Funding Information: Received by the editors August 17, 2018, and, in revised form, October 2, 2018. 2010 Mathematics Subject Classification. Primary 53C20, 53C21. The author was partially supported by the Natural Science Research grant 17KJD110007 for Institutions of Higher Education of Jiangsu Province, China. Publisher Copyright: {\textcopyright} 2019 American Mathematical Society.",

year = "2019",

month = may,

doi = "10.1090/proc/14418",

language = "English (US)",

volume = "147",

pages = "2207--2212",

journal = "Proceedings of the American Mathematical Society",

issn = "0002-9939",

publisher = "American Mathematical Society",

number = "5",

}

TY - JOUR

T1 - Manifolds with non-negative bakry-émery ricci curvature and minimal boundary

AU - Yang, Ning

AU - Wang, Jia Ping

N1 - Funding Information: Received by the editors August 17, 2018, and, in revised form, October 2, 2018. 2010 Mathematics Subject Classification. Primary 53C20, 53C21. The author was partially supported by the Natural Science Research grant 17KJD110007 for Institutions of Higher Education of Jiangsu Province, China. Publisher Copyright: © 2019 American Mathematical Society.

PY - 2019/5

Y1 - 2019/5

N2 - In this note, we prove that a non-compact Riemannian manifold M with non-negative Bakry-Émery Ricci curvature and compact minimal boundary ?M is the isometric product ∂M ×[0,∞), provided that the potential function is bounded from above and has non-negative derivatives at ∂M along inner normal directions.

AB - In this note, we prove that a non-compact Riemannian manifold M with non-negative Bakry-Émery Ricci curvature and compact minimal boundary ?M is the isometric product ∂M ×[0,∞), provided that the potential function is bounded from above and has non-negative derivatives at ∂M along inner normal directions.

UR - http://www.scopus.com/inward/record.url?scp=85065485639&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85065485639&partnerID=8YFLogxK

U2 - 10.1090/proc/14418

DO - 10.1090/proc/14418

M3 - Article

AN - SCOPUS:85065485639

SN - 0002-9939

VL - 147

SP - 2207

EP - 2212

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

IS - 5

ER -

Manifolds with non-negative bakry-émery ricci curvature and minimal boundary

Abstract

Bibliographical note

Access

OpenUrl availability

Other files and links

Fingerprint

Cite this