Scholarlink

<p>This paper investigates the existence of sequential warped product submanifolds within the framework of metallic Riemannian manifolds and analyzes their geometric properties. We explore the structural properties of such submanifolds and obtain optimal inequalities for the second fundamental form. These inequalities provide insights into the extrinsic geometry of the submanifolds. Furthermore, we discuss special cases and conditions under which these inequalities become equalities, offering a deeper understanding of the geometric interplay between the ambient metallic Riemannian manifold and its sequential warped product submanifolds.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Sequential Warped Product Submanifolds of Metallic Riemannian Manifolds

  • 期刊论文

  • 发表日期：

    2025年7月2日

查看全文
  • Harmandeep Kaur,
  • Gauree Shanker,
  • Anuj Kumar

摘要

This paper investigates the existence of sequential warped product submanifolds within the framework of metallic Riemannian manifolds and analyzes their geometric properties. We explore the structural properties of such submanifolds and obtain optimal inequalities for the second fundamental form. These inequalities provide insights into the extrinsic geometry of the submanifolds. Furthermore, we discuss special cases and conditions under which these inequalities become equalities, offering a deeper understanding of the geometric interplay between the ambient metallic Riemannian manifold and its sequential warped product submanifolds.