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Geometry of Submanifolds: From Anti-Invariant to Quasi Hemi-Slant by Payel Karmakar

Geometry of Submanifolds: From Anti-Invariant to Quasi Hemi-Slant

by Payel Karmakar
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Book cover type: Paperback
  • ISBN13: 9786209894411
  • Binding: Paperback
  • Subject: N/A
  • Publisher: LAP Lambert Academic Publishing
  • Publisher Imprint: LAP Lambert Academic Publishing
  • Publication Date:
  • Pages: 152
  • Original Price: USD 89.0
  • Language: English
  • Edition: N/A
  • Item Weight: 214 grams
  • BISAC Subject(s): General

This seven-chapter book provides a comprehensive compilation of ten research papers focused on the geometry of diverse submanifolds within differentiable manifolds, such as Sasakian, Kenmotsu, and trans-Sasakian structures. The research explores advanced topics including anti-invariant, hemi-slant, and quasi hemi-slant (QHS) submanifolds, extending these concepts into metallic and golden Riemannian manifolds. A significant portion of the work is dedicated to the study of solitons-specifically ∗-η-Ricci-Yamabe and Ricci solitons-under various affine connections like quarter-symmetric metric, non-metric, and Zamkovoy connections. Additionally, the text characterizes lightlike submanifolds and investigates various curvature flatness properties, such as projectively and concircularly flat conditions. Each chapter transitions from theoretical derivations and integrability conditions for distributions to concrete examples that verify the established manifold relations, offering a rigorous analysis of the intersection between contact geometry and submanifold theory.

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