[图书][B] Lie groups and geometric aspects of isometric actions
MM Alexandrino, RG Bettiol - 2015 - Springer
This book is intended for advanced undergraduates, graduate students, and young
researchers in geometry. It was written with two main goals in mind. First, we give a gentle …
researchers in geometry. It was written with two main goals in mind. First, we give a gentle …
[HTML][HTML] Progress in the theory of singular Riemannian foliations
MM Alexandrino, R Briquet, D Töben - Differential Geometry and its …, 2013 - Elsevier
A singular foliation is called a singular Riemannian foliation (SRF) if every geodesic that is
perpendicular to one leaf is perpendicular to every leaf it meets. A typical example is the …
perpendicular to one leaf is perpendicular to every leaf it meets. A typical example is the …
Equifocality of a singular Riemannian foliation
M Alexandrino, D Töben - Proceedings of the American Mathematical …, 2008 - ams.org
A singular foliation on a complete Riemannian manifold $ M $ is said to be Riemannian if
each geodesic that is perpendicular to a leaf at one point remains perpendicular to every …
each geodesic that is perpendicular to a leaf at one point remains perpendicular to every …
On smoothness of isometries between orbit spaces
M Alexandrino, A Lytchak - arXiv preprint arXiv:1107.2563, 2011 - arxiv.org
arXiv:1107.2563v1 [math.DG] 13 Jul 2011 Page 1 arXiv:1107.2563v1 [math.DG] 13 Jul 2011
ON SMOOTHNESS OF ISOMETRIES BETWEEN ORBIT SPACES MARCOS ALEXANDRINO …
ON SMOOTHNESS OF ISOMETRIES BETWEEN ORBIT SPACES MARCOS ALEXANDRINO …
Introduction to Lie groups, isometric and adjoint actions and some generalizations
MM Alexandrino, RG Bettiol - arXiv preprint arXiv:0901.2374, 2009 - arxiv.org
The main purpose of these lecture notes is to provide a concise introduction to Lie groups,
Lie algebras, and isometric and adjoint actions, aiming mostly at advanced undergraduate …
Lie algebras, and isometric and adjoint actions, aiming mostly at advanced undergraduate …
Equivariant tensors on polar manifolds
RAE Mendes - 2011 - search.proquest.com
Equivariant Tensors on Polar Manifolds Page 1 University of Pennsylvania ScholarlyCommons
Publicly accessible Penn Dissertations 5-16-2011 Equivariant Tensors on Polar Manifolds …
Publicly accessible Penn Dissertations 5-16-2011 Equivariant Tensors on Polar Manifolds …
Polar foliations and isoparametric maps
MM Alexandrino - Annals of Global Analysis and Geometry, 2012 - Springer
A singular Riemannian foliation F on a complete Riemannian manifold M is called a polar
foliation if, for each regular point p, there is an immersed submanifold Σ, called section, that …
foliation if, for each regular point p, there is an immersed submanifold Σ, called section, that …
Singular holonomy of singular Riemannian foliations with sections
MM Alexandrino - arXiv preprint math/0703814, 2007 - arxiv.org
In this paper we review some author's results about singular holonomy of singular
riemannian foliations with sections (srfs for short) and also some results of a joint work with …
riemannian foliations with sections (srfs for short) and also some results of a joint work with …
On non-existenceness of equifocal submanifolds with non-flat section
N Koike - 2008 - projecteuclid.org
We first prove a certain kind of splitting theorem for an equifocal submanifold with non-flat
section in a simply connected symmetric space of compact type, where an equifocal …
section in a simply connected symmetric space of compact type, where an equifocal …
A-foliations of codimension two on compact simply-connected manifolds
D Corro - Mathematische Zeitschrift, 2023 - Springer
We show that a singular Riemannian foliation of codimension two on a compact simply-
connected Riemannian (n+ 2)-manifold, with regular leaves homeomorphic to the n-torus, is …
connected Riemannian (n+ 2)-manifold, with regular leaves homeomorphic to the n-torus, is …