8 citations · 18 across the 15 of their papers we have counts for
16 papers
First Chen Inequality for CR-Warped Product Submanifolds of a Complex Space Form and Applications
Abdulqader Mustafa, Monika Sati, Uday Chand De +2
In this paper, the first Chen inequality is proved for CR-warped product submanifolds in complex space forms. This inequality involves intrinsic invariants (a leaf-wise -invaria…
Introduction of the G-Ricci Flow: Geometric Implications for Spontaneous Symmetry Breaking and Gauge Boson Masses
Richard Pinčák, Alexander Pigazzini, Michal Pudlák +1
This work introduces the G-Ricci flow on seven-dimensional manifolds with non-zero torsion and explores its physical implications. By extending the Ricci flow to manifolds with…
A note on the theoretical approach to Grassmannians and Plücker coordinates for additive skew-symmetric pairwise comparisons matrices
Waldemar W. Koczkodaj, Witold Pedrycz, Alexander Pigazzini +2
Symmetry and antisymmetry are fundamental concepts in many strict sciences. Pairwise comparisons (PC) matrices are fundamental tools for representing pairwise relations in decision…
Analysis of a special type of soliton on Kenmotsu manifolds
Somnath Mondal, Meraj Ali Khan, Santu Dey +4
In this paper, we aim to investigate the properties of an almost -Ricci-Bourguignon soliton (almost R-B-S for short) on a Kenmotsu manifold (K-M). We start by proving that i…
Einstein warped-product manifolds and the screened Poisson equation
Alexander Pigazzini, Luca Lussardi, Magdalena Toda +1
We study a particular type of Einstein warped-product manifold where the warping function must satisfy the homogeneous version of the screened Poisson equation. Under these assumpt…
A K-Theory approach to characterize admissible physical manifolds
Patrick Linker, Cenap Ozel, Alexander Pigazzini +3
We will classify physically admissible manifold structures by the use of Waldhausen categories. These categories give rise to algebraic K-Theory. Moreover, we will show that a univ…
Geometric inequalities on bi-warped product submanifolds of locally conformal almost cosymplectic manifolds
Ramandeep Kaur, Gauree Shanker, Alexander Pigazzini +3
In this paper we present not only some properties related to bi-warped product submanifolds of locally conformal almost cosymplectic manifolds, but also we show how the squared nor…
Existence and Nonexistence of Warped Product Submanifolds of Almost Contact Manifolds
Abdulqader Mustafa, Cenap Ozel, Alexander Pigazzini +1
This paper has two goals; the first is to generalize results for the existence and nonexistence of warped product submanifolds of almost contact manifolds, accordingly a self-conta…
A family of special case of sequential warped product manifolds with semi-Riemannian Einstein metrics
Alexander Pigazzini, Cenap Ozel, Saeid Jafari +2
We derive the general formulas for a special configuration of the sequential warped product semi-Riemannian manifold to be Einstein, where the base-manifold is the product of two m…
A General Inequality for Warped Product -Submanifolds of Kähler Manifolds
Abdulqader Mustafa, Cenap Ozel, Patrick Linker +2
In this paper, warped product contact -submanifolds in Sasakian, Kenmotsu and cosymplectic manifolds are shown to possess a geometric property; namely -minimal.…
First Chen Inequality for General Warped Product Submanifolds of a Riemannian Space Form and Applications
Abdulqader Mustafa, Cenap Ozel, Alexander Pigazzini +2
In this paper, the first Chen inequality is proved for general warped product submanifolds in Riemannian space forms, this inequality involves intrinsic invariants (-invariant a…
A topological approach for emerging D-branes and its implications for gravity
Richard Pincak, Alexander Pigazzini, Saeid Jafari +2
We introduce a new geometric/topological approach to the emerging braneworld scenario in the context of D-branes using partially negative dimensional product (PNDP) manifolds. The…
The "emerging" reality from "hidden" spaces
R. Pincak, A. Pigazzini, S. Jafari +1
The main purpose of this paper is to show and introduce some new interpretative aspects of the concept of "emergent space" as geometric/topological approach in the cosmological fie…
On PNDP-manifold
Alexander Pigazzini, Cenap Ozel, Patrick Linker +1
We provide a possible way of constructing new kinds of manifolds which we will call Partially Negative Dimensional Product manifold (PNDP-manifold for short). In particular a PNDP-…
Curvature constrained on base for -Einstein warped product manifolds
Alexander Pigazzini, Cenap Ozel, Saeid Jafari
For the studied cases in [10], the author showed that having the {\textit {-curvature-Base}} () is equal to requiring a flat metric on the base-manifold. In [11] the au…
On the (2+2)-Einstein Warped Product Manifolds with -curvature-Base
Alexander Pigazzini
We study the -Einstein warped product manifolds, where the scalar curvature of the Base is a multiple of the warping function, and we called this condition (inside a warped…