A Note on Obata’s Rigidity Theorem

Article Properties
Cite
Wu, Guoqiang, and Rugang Ye. “A Note on Obata’s Rigidity Theorem”. Communications in Mathematics and Statistics, vol. 2, no. 3-4, 2014, pp. 231-52, https://doi.org/10.1007/s40304-014-0038-6.
Wu, G., & Ye, R. (2014). A Note on Obata’s Rigidity Theorem. Communications in Mathematics and Statistics, 2(3-4), 231-252. https://doi.org/10.1007/s40304-014-0038-6
Wu, Guoqiang, and Rugang Ye. “A Note on Obata’s Rigidity Theorem”. Communications in Mathematics and Statistics 2, no. 3-4 (2014): 231-52. https://doi.org/10.1007/s40304-014-0038-6.
Wu G, Ye R. A Note on Obata’s Rigidity Theorem. Communications in Mathematics and Statistics. 2014;2(3-4):231-52.
Journal Category
Science
Mathematics
Refrences
Title Journal Journal Categories Citations Publication Date
10.1016/S0926-2245(96)00052-6 1997
Lower Bounds on Ricci Curvature and the Almost Rigidity of Warped Products Annals of Mathematics
  • Science: Mathematics
 268 1996
10.1215/S0012-7094-92-06704-4 Duke Mathematical Journal
  • Science: Mathematics
 1992
The conjectures on conformal transformations of Riemannian manifolds Journal of Differential Geometry
  • Science: Mathematics
 204 1972
10.1090/S0002-9947-1965-0174022-6 1965
Citations
Title Journal Journal Categories Citations Publication Date
Rigidity of weighted Einstein smooth metric measure spaces Journal de Mathématiques Pures et Appliquées
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
 2024
Some inequalities on Riemannian manifolds linking Entropy, Fisher information, Stein discrepancy and Wasserstein distance Journal of Functional Analysis
  • Science: Mathematics
 2023
A note on Andrews inequalities

 Mathematische Nachrichten
  • Science: Mathematics
 2022
On the geometry of Einstein-type manifolds with some structural conditions Journal of Mathematical Analysis and Applications
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
 2022
A conformal characterization of manifolds of constant sectional curvature Archiv der Mathematik
  • Science: Mathematics
 2020
Citations Analysis
Category Category Repetition
Science: Mathematics5
Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods2
The category Science: Mathematics 5 is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled A conformal characterization of manifolds of constant sectional curvature and was published in 2020. The most recent citation comes from a 2024 study titled Rigidity of weighted Einstein smooth metric measure spaces. This article reached its peak citation in 2022, with 2 citations. It has been cited in 5 different journals. Among related journals, the Journal de Mathématiques Pures et Appliquées cited this research the most, with 1 citations. The chart below illustrates the annual citation trends for this article.
Citations used this article by year