Add to ORKGWe study n dimensional Riemanniann manifolds with harmonic forms of constant length and first Betti number equal to n−1 showing that they are 2-steps nilmanifolds with some special metrics. We also characterise, 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 stable isosytolic inequalities in that setting. We also discuss other values of the Betti number.
summary:Let $(N, J)$ be a simply connected $2n$-dimensional nilpotent Lie group endowed with an inva...
Abstract. Let N be a complete Riemannian manifold with nonnegative Ricci curvature and let M be a co...
Includes bibliographical references (leaves 67-69)In thesis we present some of interactions among th...
Abstract. We study (n + 1)-dimensional Riemannian manifolds with har-monic forms of constant length ...
[[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...
An n-dimensional Riemannian manifold is called k-harmonic for some integer k, 1 <= k <= n - 1, if th...
We show that an ^-dimensional (2 < n < 5) complete noncompact strongly stable hypersurface M w...
To a closed Riemannian manifold, we associate a set of (special values of) a family of Dirichlet ser...
[[abstract]]Given a complete Riemannian manifold (M, g) with nonnegative sectional curvature outside...
In the thesis, we generalize the classical characterization of Bott-Chern and Aeppli harmonic forms,...
This thesis consists of six parts. In the first part, we give a general introduction of our topics. ...
SIGLEAvailable from British Library Document Supply Centre- DSC:D34971/81 / BLDSC - British Library ...
In this paper we study compact manifolds with 2-nonnega-tive Ricci operator, assuming that their Wey...
summary:Let $(N, J)$ be a simply connected $2n$-dimensional nilpotent Lie group endowed with an inva...
Abstract. Let N be a complete Riemannian manifold with nonnegative Ricci curvature and let M be a co...
Includes bibliographical references (leaves 67-69)In thesis we present some of interactions among th...
Abstract. We study (n + 1)-dimensional Riemannian manifolds with har-monic forms of constant length ...
[[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...
An n-dimensional Riemannian manifold is called k-harmonic for some integer k, 1 <= k <= n - 1, if th...
We show that an ^-dimensional (2 < n < 5) complete noncompact strongly stable hypersurface M w...
To a closed Riemannian manifold, we associate a set of (special values of) a family of Dirichlet ser...
[[abstract]]Given a complete Riemannian manifold (M, g) with nonnegative sectional curvature outside...
In the thesis, we generalize the classical characterization of Bott-Chern and Aeppli harmonic forms,...
This thesis consists of six parts. In the first part, we give a general introduction of our topics. ...
SIGLEAvailable from British Library Document Supply Centre- DSC:D34971/81 / BLDSC - British Library ...
In this paper we study compact manifolds with 2-nonnega-tive Ricci operator, assuming that their Wey...
summary:Let $(N, J)$ be a simply connected $2n$-dimensional nilpotent Lie group endowed with an inva...
Abstract. Let N be a complete Riemannian manifold with nonnegative Ricci curvature and let M be a co...
Includes bibliographical references (leaves 67-69)In thesis we present some of interactions among th...