ℤ2-equivariant Ljusternik-Schnirelman theory for non-even functionals
نویسندگان
چکیده
منابع مشابه
Lusternik – Schnirelman Theory and Dynamics
In this paper we study a new topological invariant Cat(X, ξ), where X is a finite polyhedron and ξ ∈ H(X;R) is a real cohomology class. Cat(X, ξ) is defined using open covers of X with certain geometric properties; it is a generalization of the classical Lusternik – Schnirelman category. We show that Cat(X, ξ) depends only on the homotopy type of (X, ξ). We prove that Cat(X, ξ) allows to establ...
متن کاملLusternik -schnirelman Theory for Closed 1-forms
S. P. Novikov developed an analog of the Morse theory for closed 1-forms. In this paper we suggest an analog of the Lusternik Schnirelman theory for closed 1-forms. For any cohomology class ξ ∈ H(X,R) we define an integer cl(ξ) (the cuplength associated with ξ); we prove that any closed 1-form representing ξ has at least cl(ξ)− 1 critical points. The number cl(ξ) is defined using cup-products i...
متن کاملBi-center problem for some classes of Z2-equivariant systems
We investigate the simultaneous existence of two centers (bi-center) for two families of planar Z2-equivariant differential systems. First we present necessary and sufficient conditions for the existence of an isochronous bi-center for a planar Z2-equivariant cubic system having two centers at the points (−1, 0) and (1, 0), completing the study done by Liu and Li (2011). Next, we give condition...
متن کاملA Note on the Z2-equivariant Montgomery-yang Correspondence
In this paper, a classification of free involutions on 3-dimensional homotopy complex projective spaces is given. By the Z2-equivariant Montgomery-Yang correspondence, we obtain all smooth involutions on S with fixed-point set an embedded S.
متن کاملEquivariant ^-theory for Noetherian Rings
A number of results are proved concerning the Quillen ^-theory K+(S*G) of the skew group ring S*G, where S is a Noetherian ring and G is a finite group of automorphisms of 5. Applications are given to the computation of AT-groups of group algebras and of equivariant /^-theory for affine varieties.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Annales de l'Institut Henri Poincaré C, Analyse non linéaire
سال: 1998
ISSN: 0294-1449
DOI: 10.1016/s0294-1449(98)80121-2