4 citations · 4 across the 5 of their papers we have counts for
6 papers
Isometry Structures on Vector Bundles
Hulya Kadioglu, Robert Fisher
In this paper, we prove that total space of every vector bundle with the base manifold on which the canonical isometric action acts freely, also carries a principal bundle structur…
Canonical Involution on Double Jet Bundles
Hulya Kadioglu
In this study, we generalize double tangent bundles to double jet bundles. We present a secondary vector bundle structure on a 1-jet of a vector bundle. We show that 1-jet of a vec…
On the Prolongations of Representations of Lie Groups
Hulya Kadioglu, Erdogan Esin
In this paper, we introduce a study of prolongations of representations of Lie groups. We obtain a faithful (one-to-one) representation of TG where G is a finite-dimensional Lie gr…
Prolongations of Lie Algebra Representations
Hulya Kadioglu, Erdogan Esin, Yusuf Yayli
In this paper, we present a study on the prolongations of representations of Lie algebras. We show that a tangent bundle of a given Lie algebra attains a Lie algebra structure. The…
On the Prolongations of Homogeneous Vector Bundles
Hulya Kadioglu
In this paper, we introduce a study of prolongations of homogeneous vector bundles. We give an alternative approach for the prolongation. For a given homogeneous vector bundle E, w…
Classification of Ordered Type Soliton Metric Lie Algebras by a Computational Approach
Hulya Kadioglu
In this study, we classify some soliton nilpotent Lie algebras and possible candidates in dimension 8 and 9 up to isomorphy. We focus on 1 < 2 < ::: < n type of derivations where n…