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20192022
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math.DG2022

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…

math.DG2022

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…

math.DG2021

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.…

math.DG2021

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-…

math.DG2019

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…

math.DG2019

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…