A Note on the First Nonzero Eigenvalue of the Laplacian Acting of P-Forms.
Gilles Courtois, Bruno Colbois (1990)
Manuscripta mathematica
Lu, Zhiqin (2003)
Portugaliae Mathematica. Nova Série
J. Bemelmans (1981)
Manuscripta mathematica
Peter Buser (1982)
Annales scientifiques de l'École Normale Supérieure
Zheng-Chao Han, Yan Yan Li (1996)
Annales de l'I.H.P. Analyse non linéaire
Henrique Fernandes de Lima (2022)
Archivum Mathematicum
We obtain nonexistence results concerning complete noncompact spacelike hypersurfaces with polynomial volume growth immersed in a Lorentzian space form, under the assumption that the support functions with respect to a fixed nonzero vector are linearly related. Our approach is based on a suitable maximum principle recently established by Alías, Caminha and do Nascimento [3].
Oldřich Kowalski (1972)
Commentationes Mathematicae Universitatis Carolinae
Paweł Grzegorz Walczak (1984)
Annales Polonici Mathematici
Ioannis Chrysikos (2021)
Communications in Mathematics
We study the volume of compact Riemannian manifolds which are Einstein with respect to a metric connection with (parallel) skew-torsion. We provide a result for the sign of the first variation of the volume in terms of the corresponding scalar curvature. This generalizes a result of M. Ville [Vil] related with the first variation of the volume on a compact Einstein manifold.
De, U.C., Biswas, Sudipta (2006)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
Oldřich Kowalski (1989)
Commentationes Mathematicae Universitatis Carolinae
Kurta, Vasyl V. (1998)
Abstract and Applied Analysis
Peter Tolksdorf (1984)
Journal für die reine und angewandte Mathematik
M. Umehara, K. Yamada (1992)
Journal für die reine und angewandte Mathematik
Yves Meyer, Tristan Rivière (2003)
Revista Matemática Iberoamericana
We prove, for arbitrary dimension of the base n greater than or equal to 4, stationary Yang-Mills Fields satisfying Borne approximability property are regular apart from a closed subset of the base having zero (n-4)- Hausdorff measure.
M. C. Chaki, K. K. Sharma (1976)
Colloquium Mathematicae
Friedrich Tomi (1975)
Mathematische Zeitschrift
Norbert Jakobowsky (1994)
Journal für die reine und angewandte Mathematik
Begmatov, A.Kh. (2000)
Siberian Mathematical Journal
Ziqi Sun (2003)
Colloquium Mathematicae
Let M be an n-dimensional complete immersed submanifold with parallel mean curvature vectors in an (n+p)-dimensional Riemannian manifold N of constant curvature c > 0. Denote the square of length and the length of the trace of the second fundamental tensor of M by S and H, respectively. We prove that if S ≤ 1/(n-1) H² + 2c, n ≥ 4, or S ≤ 1/2 H² + min(2,(3p-3)/(2p-3))c, n = 3, then M is umbilical. This result generalizes the Okumura-Hasanis...