On Douglas Warped Product Metrics

被引：0
|
作者：
Newton Mayer Solórzano Chávez
机构：
[1] Universidade Federal da Integração Latino-Americana,
来源：
Results in Mathematics | 2022年 / 77卷
关键词：
Finsler metric; warped product; Douglas metric; 53B40; 53C60;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We study the new warped metric proposed by P. Marcal and Z. Shen. We obtain the differential equation of such metrics with vanishing Douglas curvature. By solving this equation, we obtain all Douglas warped product metrics. We show that Landsberg and Berwald warped product metrics are equivalent. We classify Douglas Ricci-flat metrics. Examples are included.
引用
收藏
相关论文
共 50 条
  • [1] On Douglas Warped Product Metrics
    Chavez, Newton Mayer Solorzano
    [J]. RESULTS IN MATHEMATICS, 2022, 77 (05)
  • [2] On Weakly Douglas Warped Product Finsler Metrics
    Bankteshwar Tiwari
    Ranadip Gangopadhyay
    Anjali Shriwastawa
    [J]. Proceedings of the National Academy of Sciences, India Section A: Physical Sciences, 2022, 92 : 599 - 604
  • [3] On Weakly Douglas Warped Product Finsler Metrics
    Tiwari, Bankteshwar
    Gangopadhyay, Ranadip
    Shriwastawa, Anjali
    [J]. PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES INDIA SECTION A-PHYSICAL SCIENCES, 2022, 92 (04) : 599 - 604
  • [4] Finsler Warped Product Metrics of Douglas Type
    Liu, Huaifu
    Mo, Xiaohuan
    [J]. CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 2019, 62 (01): : 119 - 130
  • [5] On Landsberg Warped Product Metrics
    Gabrani, Mehran
    Rezaei, Bahman
    Sevim, Esra Sengelen
    [J]. JOURNAL OF MATHEMATICAL PHYSICS ANALYSIS GEOMETRY, 2021, 17 (04) : 468 - 483
  • [6] On homogeneous warped product Einstein metrics
    Lafuente, Ramiro A.
    [J]. BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 2015, 47 : 118 - 126
  • [7] On the classification of warped product Einstein metrics
    He, Chenxu
    Petersen, Peter
    Wylie, William
    [J]. COMMUNICATIONS IN ANALYSIS AND GEOMETRY, 2012, 20 (02) : 271 - 311
  • [8] Scalar Curvature Rigidity of Warped Product Metrics
    Baer, Christian
    Brendle, Simon
    Hanke, Bernhard
    Wang, Yipeng
    [J]. SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, 2024, 20
  • [9] Constructions of Einstein Finsler metrics by warped product
    Chen, Bin
    Shen, Zhongmin
    Zhao, Lili
    [J]. INTERNATIONAL JOURNAL OF MATHEMATICS, 2018, 29 (11)
  • [10] Ricci flow with hyperbolic warped product metrics
    Ma, Li
    Xu, Xingwang
    [J]. MATHEMATISCHE NACHRICHTEN, 2011, 284 (5-6) : 739 - 746
12345