A5056543942- Geometric Analysis and Curvature Flows
- Geometry and complex manifolds
- Geometric and Algebraic Topology
- Numerical methods in inverse problems
- Advanced Mathematical Modeling in Engineering
- Nonlinear Partial Differential Equations
- Point processes and geometric inequalities
Wuhan University
2023
University of South Carolina
1994
University of Miami
1994
In this paper we establish two local versions of the Cheeger-Gromoll Splitting Theorem. We show that if a complete Riemannian manifold <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper M"> <mml:semantics> <mml:mi>M</mml:mi> <mml:annotation encoding="application/x-tex">M</mml:annotation> </mml:semantics> </mml:math> </inline-formula> has nonnegative Ricci curvature outside compact set B"> <mml:mi>B</mml:mi>...
In this paper we establish two local versions of the Cheeger-Gromoll Splitting Theorem.We show that if a complete Riemannian manifold M has nonnegative Ricci curvature outside compact set B and contains line y which does not intersect , then splits in maximal neighborhood is contained \ .We use result to give simplified proof bounded number ends.We also prove sectional (and from above) tubular U geodesic along .