Some functionals on compact manifolds with boundary

Pengzi Miao; Luen-Fai Tam

doi:10.1007/s00209-016-1812-9

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Some functionals on compact manifolds with boundary

Journal article

Peer reviewed

Some functionals on compact manifolds with boundary

Pengzi Miao and Luen-Fai Tam

Mathematische Zeitschrift, Vol.286(3), pp.1525-1537

2017-08

DOI: https://doi.org/10.1007/s00209-016-1812-9

Abstract

Scalar curvature

Primary 53C20

Mathematics, general

Mathematics

Secondary 83C99

Static metrics

We analyze critical points of two functionals of Riemannian metrics on compact manifolds with boundary. These functionals are motivated by formulae of the mass functionals of asymptotically flat and asymptotically hyperbolic manifolds.

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Collaboration types: Domestic collaboration; International collaboration
Citation topics: 5 Physics; 5.9 Particles & Fields; 5.9.12 Dark Energy
Web Of Science research areas: Mathematics
ESI research areas: Mathematics

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Details

Title: Some functionals on compact manifolds with boundary
Creators: Pengzi Miao - Department of Mathematics University of Miami Coral Gables FL 33146 USA
Luen-Fai Tam - The Institute of Mathematical Sciences and Department of Mathematics The Chinese University of Hong Kong Shatin Hong Kong China
Publication Details: Mathematische Zeitschrift, Vol.286(3), pp.1525-1537
Publisher: Springer Berlin Heidelberg; Berlin/Heidelberg
Academic Unit: College of A&S; A&S - Mathematics
Language: English
Resource Type: Journal article
Record Identifier: 991031577119302976