2 citations · 6 across the 10 of their papers we have counts for
10 papers
Homotopy Classification of Super Vector Bundles and Universality
Mohammad Javad Afshari, Saad Varsaie
This study first provides a brief overview of the structure of typical Grassmann manifolds. Then a new type of supergrassmannians is construced using an odd involution in a super r…
Extension of local positive definite -superfunctions
Fatemeh Nikzad Pasikhani, Mohammad Mohammadi, Saad Varsaie
By defining a concept of boundedness for -superfunction, we show that each local positive definite -superfunctions, which is bounded in some sen…
Supertransversality and -symmetric supermanifolds
Fatemeh Alikhani, Mehdi Ghorbani, Saad Varsaie
The main objective of this article is to extend the concept of transversality to supergeometry. Transversality has two important properties in the classical case, namely " stabilit…
Einstein equations with cosmological constant in Super Space-Time
F. Gholami, F. Darabi, M. Mohammadi +2
We introduce a new kind of super warped product spaces , , and $\bar{M}_{_{…
The Super Lie Groups Associated to Odd Involutions
Mohammad Mohammadi, Saad Varsaie
A new generalization of Grassmannians in supergeometry, called Grassmannians, are constructed by gluing domains. By a domain, we mean a superdomain with an odd involuti…
On the Construction of Supergrassmannians as Homogeneous Superspaces
Mohammad Mohammadi, Saad Varsaie
In this paper, we construct the supergrassmannians by gluing of the superdomains and give an explicit description of the action of the $\mat…
Universal Super Vector Bundles
Mohammad Javad Afshari, Saad Varsaie
A new generalization of Grassmannians, called ν-grassmannians, and a canonical super vector bundle over this new space, say Γ, are introduced. Then, constructing a Gauss supermap o…
A Novel Supergeometric Generalization of Grassmannians
Fereshteh Bahadorykhalily, Mohammad Mohammadi, Saad Varsaie
A new generalization of Grassmannians to supergeometry, different from the well known supergrassmannian, is introduced. These are constructed by gluing a finite number of copies of…
Supergrassmannians as Homogeneous Superspaces
Mohammad Mohammadi, Saad Varsaie
A homogeneous space is a manifold on which a Lie group acts transitively. Super generalization of this concept is also studied in [2] and [4]. In this paper we explicitly show that…
Analytic Approach To a Generalization of Chern Classes in Supergeometry
Marzieh Roshandelbana, Saad Varsaie
Some cohomology elements, called classes, as a supergeneralization of universal Chern classes, are introduced for canonical super line bundles over projective spaces, a nov…