Recent Advancments in Contact Metric Manifolds

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Bol Contact geometry, an essential area in modern mathematics, has roots in the mathematical framework of classical mechanics. The book Recent Advancements in Contact Metric Manifolds is designed as a comprehensive resource for researchers in the field of contact metric manifolds. It presents the latest research on the behavior of various curvature tensors within different types of contact metric manifolds. The book is divided into four chapters. The first chapter is dedicated to the study of K-contact metric manifolds, focusing on curvature conditions related to quasi-conformal and conharmonic curvature tensors. Chapters two and three explore N(k)-contact and (k, ¿)-contact manifolds, respectively. The fourth and final chapter examines three-dimensional normal almost contact metric manifolds. Each chapter provides key results and important concepts that are vital for working in these manifolds, along with examples to facilitate understanding and serve as practical references.

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Contact geometry, an essential area in modern mathematics, has roots in the mathematical framework of classical mechanics. The book Recent Advancements in Contact Metric Manifolds is designed as a comprehensive resource for researchers in the field of contact metric manifolds. It presents the latest research on the behavior of various curvature tensors within different types of contact metric manifolds. The book is divided into four chapters. The first chapter is dedicated to the study of K-contact metric manifolds, focusing on curvature conditions related to quasi-conformal and conharmonic curvature tensors. Chapters two and three explore N(k)-contact and (k, ¿)-contact manifolds, respectively. The fourth and final chapter examines three-dimensional normal almost contact metric manifolds. Each chapter provides key results and important concepts that are vital for working in these manifolds, along with examples to facilitate understanding and serve as practical references.


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