Gromov pre-compactness theorems for nonreversible Finsler manifolds
نویسندگان
چکیده
منابع مشابه
Galloway’s compactness theorem on Finsler manifolds
The compactness theorem of Galloway is a stronger version of the Bonnet-Myers theorem allowing the Ricci scalar to take also negative values from a set of real numbers which is bounded below. In this paper we allow any negative value for the Ricci scalar, and adding a condition on its average, we find again that the manifold is compact and provide an upper bound of its diameter. Also, with no c...
متن کاملSome Rigidity Theorems for Finsler Manifolds
This is a survey article on global rigidity theorems for complete Finsler manifolds without boundary.
متن کاملCritical Point Theorems on Finsler Manifolds
In this paper we consider a dominating Finsler metric on a complete Riemannian manifold. First we prove that the energy integral of the Finsler metric satisfies the Palais-Smale condition, and ask for the number of geodesics with endpoints in two given submanifolds. Using Lusternik-Schnirelman theory of critical points we obtain some multiplicity results for the number of Finsler-geodesics betw...
متن کاملSome Rigidity Theorems for Finsler Manifolds of Sectional Flag Curvature
In this paper we study some rigidity properties for Finsler manifolds of sectional flag curvature. We prove that any Landsberg manifold of non-zero sectional flag curvature and any closed Finsler manifold of negative sectional flag curvature must be Riemannian.
متن کاملCompactness Theorems for Riemannian Manifolds with Boundary and Applications
of the Dissertation Compactness Theorems for Riemannian Manifolds with Boundary and Applications
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Differential Geometry and its Applications
سال: 2010
ISSN: 0926-2245
DOI: 10.1016/j.difgeo.2010.04.006