On generalized projective product spaces and Dold manifolds

نویسندگان

چکیده

D. Davis introduced projective product spaces in 2010 as a generalization of real and discussed some their topological properties. On the other hand, Dold manifolds were by A. 1956 to study generators non-oriented cobordism ring. Recently, 2019, Nath P. Sankaran made modest manifolds. In this paper we simultaneously generalize both notions manifolds, leading infinitely many different classes new smooth Our main goal will be integral homology groups. cohomology rings, stable tangent bundles, vector field problems, on certain generalized

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Projective Product Spaces

Let n = (n1, . . . , nr). The quotient space Pn := Sn1× · · ·×Snr/(x ∼ −x) is what we call a projective product space. We determine the integral cohomology ring H∗(Pn) and the action of the Steenrod algebra on H∗(Pn;Z2). We give a splitting of ΣPn in terms of stunted real projective spaces, and determine when Si is a product factor of Pn. We relate the immersion dimension and span of Pn to the ...

متن کامل

compactifications and function spaces on weighted semigruops

chapter one is devoted to a moderate discussion on preliminaries, according to our requirements. chapter two which is based on our work in (24) is devoted introducting weighted semigroups (s, w), and studying some famous function spaces on them, especially the relations between go (s, w) and other function speces are invesigated. in fact this chapter is a complement to (32). one of the main fea...

15 صفحه اول

On some generalized recurrent manifolds

‎The object of the present paper is to introduce and study a type of non-flat semi-Riemannian manifolds‎, ‎called‎, ‎super generalized recurrent manifolds which generalizes both the notion of hyper generalized recurrent manifolds [‎A.A‎. ‎Shaikh and A‎. ‎Patra‎, On a generalized class of recurrent manifolds‎, Arch‎. ‎Math‎. ‎(Brno) 46 (2010) 71--78‎.] and weakly generalized recurrent manifolds ...

متن کامل

Generalized Cusps in Real Projective Manifolds: Classification

A generalized cusp C is diffeomorphic to [0,∞) times a closed Euclidean manifold. Geometrically C is the quotient of a properly convex domain by a lattice, Γ, in one of a family of affine groups G(ψ), parameterized by a point ψ in the (dual closed) Weyl chamber for SL(n+1,R), and Γ determines the cusp up to equivalence. These affine groups correspond to certain fibered geometries, each of which...

متن کامل

On Parallelizability and Span of the Dold Manifolds

The Dold manifold P (m,n) is obtained from the product Sm × CPn of the m-dimensional sphere and n-dimensional complex projective space by identifying (x, [z1, . . . , zn+1]) with (−x, [z̄1, . . . , z̄n+1]), where z̄ denotes the complex conjugate of z. We answer the parallelizability question for the Dold manifolds P (m,n) and, by completing an earlier (2008) result due to Peter Novotný, we solve t...

متن کامل

ذخیره 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: Homology, Homotopy and Applications

سال: 2022

ISSN: ['1532-0073', '1532-0081']

DOI: https://doi.org/10.4310/hha.2022.v24.n2.a13