Abstract. We study (n + 1)-dimensional Riemannian manifolds with har-monic forms of constant length and rst Betti number equal to n showing that they are 2-step nilmanifolds with some special metrics. We also characterize, in terms of properties on the product of harmonic forms, the left-invariant metrics among them. This allows us to clarify the case of equality in the sta-ble isosytolic inequalities in that setting. We also discuss other values of the Betti number. 1
summary:Let $(N, J)$ be a simply connected $2n$-dimensional nilpotent Lie group endowed with an inva...
Abstract. If a closed smooth n-manifold M admits a finite cover M ̂ whose Z/2Z-cohomology has the ma...
This dissertation explores the extent to which lengths of closed geodesics on a Riemannian manifold ...
We study n dimensional Riemanniann manifolds with harmonic forms of constant length and first Betti ...
[[abstract]]It is important and interesting to study harmonic functions on a Riemannian manifold. In...
[[abstract]]Let H-l(p)(M) be the space of polynomial growth harmonic forms. We proved that the dimen...
H. Hotelling proved that, in the n-dimensional Euclidean or spherical space, the volume of a tube of...
This thesis consists of six parts. In the first part, we give a general introduction of our topics. ...
[[abstract]]Given a complete Riemannian manifold (M, g) with nonnegative sectional curvature outside...
To a closed Riemannian manifold, we associate a set of (special values of) a family of Dirichlet ser...
In this paper we study compact manifolds with 2-nonnega-tive Ricci operator, assuming that their Wey...
We show that an ^-dimensional (2 < n < 5) complete noncompact strongly stable hypersurface M w...
An n-dimensional Riemannian manifold is called k-harmonic for some integer k, 1 <= k <= n - 1, if th...
Includes bibliographical references (leaves 67-69)In thesis we present some of interactions among th...
Let M be a compact Riemannian manifold, and let ∆ = ∆M denote the Laplace Beltrami operator of M ac...
summary:Let $(N, J)$ be a simply connected $2n$-dimensional nilpotent Lie group endowed with an inva...
Abstract. If a closed smooth n-manifold M admits a finite cover M ̂ whose Z/2Z-cohomology has the ma...
This dissertation explores the extent to which lengths of closed geodesics on a Riemannian manifold ...
We study n dimensional Riemanniann manifolds with harmonic forms of constant length and first Betti ...
[[abstract]]It is important and interesting to study harmonic functions on a Riemannian manifold. In...
[[abstract]]Let H-l(p)(M) be the space of polynomial growth harmonic forms. We proved that the dimen...
H. Hotelling proved that, in the n-dimensional Euclidean or spherical space, the volume of a tube of...
This thesis consists of six parts. In the first part, we give a general introduction of our topics. ...
[[abstract]]Given a complete Riemannian manifold (M, g) with nonnegative sectional curvature outside...
To a closed Riemannian manifold, we associate a set of (special values of) a family of Dirichlet ser...
In this paper we study compact manifolds with 2-nonnega-tive Ricci operator, assuming that their Wey...
We show that an ^-dimensional (2 < n < 5) complete noncompact strongly stable hypersurface M w...
An n-dimensional Riemannian manifold is called k-harmonic for some integer k, 1 <= k <= n - 1, if th...
Includes bibliographical references (leaves 67-69)In thesis we present some of interactions among th...
Let M be a compact Riemannian manifold, and let ∆ = ∆M denote the Laplace Beltrami operator of M ac...
summary:Let $(N, J)$ be a simply connected $2n$-dimensional nilpotent Lie group endowed with an inva...
Abstract. If a closed smooth n-manifold M admits a finite cover M ̂ whose Z/2Z-cohomology has the ma...
This dissertation explores the extent to which lengths of closed geodesics on a Riemannian manifold ...
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