نتایج جستجو برای: totally contact geodesic lightlikesubmanifolds

تعداد نتایج: 197238  

2007
Stephan Tillmann

It is shown that every non-compact hyperbolic manifold of finite volume has a finite cover admitting a geodesic ideal triangulation. Also, every hyperbolic manifold of finite volume with non-empty, totally geodesic boundary has a finite regular cover which has a geodesic partially truncated triangulation. The proofs use an extension of a result due to Long and Niblo concerning the separability ...

Journal: :Ergodic Theory and Dynamical Systems 2021

Abstract We prove that if a closed hyperbolic $3$ -manifold M contains infinitely many totally geodesic surfaces, then is arithmetic.

Journal: :Calculus of Variations and Partial Differential Equations 2019

Journal: :Journal of the Mathematical Society of Japan 1997

Journal: :Transactions of the American Mathematical Society 1993

Journal: :Communications in Contemporary Mathematics 2004

2008
HANNA BENNETT CHRISTOPHER DAVIS MICHAEL JENNINGS JENNIFER NOVAK NICHOLAS PERRY ERIC SCHOENFELD

We generalize the results of [AS], finding large classes of totally geodesic Seifert surfaces in hyperbolic knot and link complements, each the lift of a rigid 2-orbifold embedded in some hyperbolic 3-orbifold. In addition, we provide a uniqueness theorem and demonstrate that many knots cannot possess totally geodesic Seifert surfaces by giving bounds on the width invariant in the presence of s...

2009
MENG WU YUNHUI WU David Bao

For an n-dimensional complete connected Riemannian manifold M with sectional curvature KM ≥ 1 and diameter diam(M) > π2 , and a closed connected totally geodesic submanifold N of M , if there exist points x ∈ N and y ∈ M satisfying the distance d(x, y) > π 2 , then N is homeomorphic to a sphere. We also give a counterexample in 2-dimensional case to the following problem: let M be an ndimension...

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