AbstractIt is often said that the Morse-Bott Lemma can be viewed as a “parameterized” Morse Lemma, and its proof should follow from the differentiability of the methods used to prove the Morse Lemma. The goal of this expository paper is to fill in the details. We present Palais' proof of the Morse Lemma using Moser's path method, which yields the necessary differentiability
In this paper we introduce Morse Lie groupoid morphisms and we study their main properties. We show ...
The Morse Theory of critical points was extended by Palais and Smale to a certain class of functions...
The Morse Theory of critical points was extended by Palais and Smale to a certain class of functions...
AbstractIt is often said that the Morse-Bott Lemma can be viewed as a “parameterized” Morse Lemma, a...
Morse theory is an extremely versatile tool, useful in a variety of situations and parts of topology...
In this note, we give a proof of the famous theorem of M. Morse dealing with the cancellation of a p...
Morse theory, a study in the intersection of differential geometry and algebraic topology, examines ...
AbstractIn this paper we prove the Morse inequalities in the non-degenerate and degenerate cases. Li...
In this work we present a study of Morse theory with the aim of introducing the Morse homology theor...
Examples are presented which show how to use the Morse lemma in specific infinite dimensional exampl...
Based on Morse homology of Morse functions, we give a new proof of the Morse-Bott inequalities for f...
AbstractLet M be a C2 manifold modeled on a Banach space with an inner product. We prove a generaliz...
It is a consequence of the Morse–Bott Lemma (see Theorems 2.10 and 2.14) that a C^2 Morse–Bott funct...
Morse homology studies the topology of smooth manifolds by examining the critical points of a real-v...
This study will mainly concentrate on Morse Theory. Morse Theory is the study of the relations betwe...
In this paper we introduce Morse Lie groupoid morphisms and we study their main properties. We show ...
The Morse Theory of critical points was extended by Palais and Smale to a certain class of functions...
The Morse Theory of critical points was extended by Palais and Smale to a certain class of functions...
AbstractIt is often said that the Morse-Bott Lemma can be viewed as a “parameterized” Morse Lemma, a...
Morse theory is an extremely versatile tool, useful in a variety of situations and parts of topology...
In this note, we give a proof of the famous theorem of M. Morse dealing with the cancellation of a p...
Morse theory, a study in the intersection of differential geometry and algebraic topology, examines ...
AbstractIn this paper we prove the Morse inequalities in the non-degenerate and degenerate cases. Li...
In this work we present a study of Morse theory with the aim of introducing the Morse homology theor...
Examples are presented which show how to use the Morse lemma in specific infinite dimensional exampl...
Based on Morse homology of Morse functions, we give a new proof of the Morse-Bott inequalities for f...
AbstractLet M be a C2 manifold modeled on a Banach space with an inner product. We prove a generaliz...
It is a consequence of the Morse–Bott Lemma (see Theorems 2.10 and 2.14) that a C^2 Morse–Bott funct...
Morse homology studies the topology of smooth manifolds by examining the critical points of a real-v...
This study will mainly concentrate on Morse Theory. Morse Theory is the study of the relations betwe...
In this paper we introduce Morse Lie groupoid morphisms and we study their main properties. We show ...
The Morse Theory of critical points was extended by Palais and Smale to a certain class of functions...
The Morse Theory of critical points was extended by Palais and Smale to a certain class of functions...