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On parabolic Whittaker functions II

Sergey Oblezin (2012)

Open Mathematics

We propose a Givental-type stationary phase integral representation for the restricted Grm,N-Whittaker function, which is expected to describe the (S 1×U N)-equivariant Gromov-Witten invariants of the Grassmann variety Grm,N. Our key tool is a generalization of the Whittaker model for principal series U(gl N)-modules, and its realization in the space of functions of totally positive unipotent matrices. In particular, our construction involves a representation theoretic derivation of the Batyrev-Ciocan-Fontanine-Kim-van...

On para-Kähler-Norden structures on the tangent bundles

Arif Salimov, Aydin Gezer, Murat Iscan (2012)

Annales Polonici Mathematici

The main purpose of this article is to investigate the paraholomorphy property of the Sasaki and Cheeger-Gromoll metrics by using compatible paracomplex stuctures on the tangent bundle.

On para-Nordenian structures

Arif A. Salimov, Filiz Agca (2010)

Annales Polonici Mathematici

The aim of this paper is to investigate para-Nordenian properties of the Sasakian metrics in the cotangent bundle.

On Perelman’s functional with curvature corrections

Rami Ahmad El-Nabulsi (2012)

Annales UMCS, Mathematica

In recent ten years, there has been much concentration and increased research activities on Hamilton’s Ricci flow evolving on a Riemannian metric and Perelman’s functional. In this paper, we extend Perelman’s functional approach to include logarithmic curvature corrections induced by quantum effects. Many interesting consequences are revealed.

On Poncelet's porism

Waldemar Cieślak, Elżbieta Szczygielska (2010)

Annales UMCS, Mathematica

We consider circular annuli with Poncelet's porism property. We prove two identities which imply Chapple's, Steiner's and other formulas. All porisms can be expressed in the form in which elliptic functions are not used.

On projectable objects on fibred manifolds

Vasile Cruceanu, Marcela Popescu, Paul Popescu (2001)

Archivum Mathematicum

The aim of this paper is to study the projectable and N -projectable objects (tensors, derivations and linear connections) on the total space E of a fibred manifold ξ , where N is a normalization of ξ .

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