THE GAGLIARDO-NIRENBERG INEQUALITIES AND MANIFOLDS WITH NON-NEGATIVE WEIGHTED RICCI CURVATURE

Mao, jing

THE GAGLIARDO-NIRENBERG INEQUALITIES AND MANIFOLDS WITH NON-NEGATIVE WEIGHTED RICCI CURVATUREAA10994346

"/Mao, jing/"Mao, jing

Kyushu Journal of Mathematics

70 ( 1 ) , pp.29 - 46 , 2016-05-19 , Faculty of Mathematics, Kyushu University

ISSN:1340-6116

NII書誌ID(NCID):AA10994346

内容記述

In this paper, we show that n-dimensional (n ≥ 2) complete and non-compact smooth metric measure spaces with non-negative weighted Ricci curvature in which some Gagliardo-Nirenberg-type inequality holds are not far from the model metric measure n-space (i.e., the Euclidean metric n-space). Moreover, this fact, together with two generalized volume comparison theorems given in [P. Freitas et al. Calc. Var. Partial Differential Equations 51 (2014), 701-724], surprisingly leads to an interesting rigidity theorem for the given metric measure spaces.

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その他の情報

著者キーワード	weighted Ricci curvature Gagliardo-Nirenberg-type inequality volume comparison radial Ricci curvature
公開者	Faculty of Mathematics, Kyushu University
日付	2016-06-24
国立情報学研究所メタデータ主題語彙集（資源タイプ）	Departmental Bulletin Paper
言語	eng
DOI	info:doi/10.2206/kyushujm.70.029
著者版フラグ	none
URL	http://jairo.nii.ac.jp/0001/00389306

THE GAGLIARDO-NIRENBERG INEQUALITIES AND MANIFOLDS WITH NON-NEGATIVE WEIGHTED RICCI CURVATURETHE GAGLIARDO-NIRENBERG INEQUALITIES AND MANIFOLDS WITH NON-NEGATIVE WEIGHTED RICCI CURVATUREAA10994346

THE GAGLIARDO-NIRENBERG INEQUALITIES AND MANIFOLDS WITH NON-NEGATIVE WEIGHTED RICCI CURVATUREAA10994346