$L^{p}$ harmonic 1-forms on conformally flat Riemannian manifolds

Abstract

In this paper, we establish a finiteness theorem for $L^{p}$ L p harmonic 1-forms on a locally conformally flat Riemannian manifold under the assumptions on the Schrödinger operators involving the squared norm of the traceless Ricci form. This result can be regarded as a generalization of Han’s result on $L^{2}$ L 2 harmonic 1-forms.

Bivalent Metal Chelates with Pentadentate Azo‐Schiff Base Derived from Nicotinic Hydrazide: Preparation, Structural Elucidation, and Pharmacological Activity

“…This is explained by its stronger interaction with DNA compared to other chemicals like H 2 L and ascorbic acid. This is because nickel represents an important component of numerous enzymes and plays a wide role in significant metabiological processes [60] . Also, several nickel(II) chelates have also been created and tested as metal‐based medications; these compounds showed a wide range of bioactivities, including anticonvulsant, antibacterial, antifungal, antimicrobial, antioxidant, and anticancer effects [60,61] .…”

“…This is because nickel represents an important component of numerous enzymes and plays a wide role in significant metabiological processes [60] . Also, several nickel(II) chelates have also been created and tested as metal‐based medications; these compounds showed a wide range of bioactivities, including anticonvulsant, antibacterial, antifungal, antimicrobial, antioxidant, and anticancer effects [60,61] . The nickel chelate was inhibiting the oxidation reaction, this is related to the reduction potentials of the nickel chelates.…”