TY - JOUR
T1 - A functional inequality on the boundary of static manifolds
AU - Kwong, Kwok Kun
AU - Miao, Pengzi
N1 - Funding Information:
∗Received June 18, 2015; accepted for publication January 29, 2016. †Department of Mathematics, National Cheng Kung University, Tainan City 70101, Taiwan (kwong@mail.ncku.edu.tw). Research partially supported by Ministry of Science and Technology in Taiwan under grant MOST103-2115-M-006-016-MY3. ‡Department of Mathematics, University of Miami, Coral Gables, FL 33146, USA (pengzim@ math.miami.edu). Research partially supported by Simons Foundation Collaboration Grant for Mathematicians #281105.
Funding Information:
Acknowledgements. PM would like to thank Shanghai Center for Mathematical Sciences for its gracious hospitality, during which part of the work on this paper was carried out. Both authors would like to thank the anonymous referee for the very useful comments and suggestions.
PY - 2017
Y1 - 2017
N2 - On the boundary of a compact Riemannian manifold (ω,g) whose metric g is static, we establish a functional inequality involving the static potential of (ω,g), the second fundamental form and the mean curvature of the boundary ∂ω respectively.
AB - On the boundary of a compact Riemannian manifold (ω,g) whose metric g is static, we establish a functional inequality involving the static potential of (ω,g), the second fundamental form and the mean curvature of the boundary ∂ω respectively.
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U2 - 10.4310/AJM.2017.v21.n4.a3
DO - 10.4310/AJM.2017.v21.n4.a3
M3 - Article
AN - SCOPUS:85028301256
VL - 21
SP - 687
EP - 696
JO - Asian Journal of Mathematics
JF - Asian Journal of Mathematics
SN - 1093-6106
IS - 4
ER -