复杂空间形式kaehllian倾斜子流形的Ricci流及其应用

IF 0.9 Q2 MATHEMATICS

Arabian Journal of Mathematics Pub Date : 2024-10-12 DOI:10.1007/s40065-024-00474-z

Lamia Saeed Alqahtani, Akram Ali

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引用次数: 0

摘要

对于复空间形式的连通Kaehlerian斜子流形，如果第二基本形式的平方范数满足一定的上界，则归一化Ricci流收敛为常曲率度量。这些边界包括恒定截面曲率、斜角和平均曲率矢量的平方范数。此外，在平均曲率的某些限制下，我们证明了子流形对球面\(\mathbb {S}^{n_1}\)是微分同态的。我们声称我们以前的一些结果是罕见的情况。

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Ricci flow of Kaehlerian slant submanifolds in complex space forms and its applications

The normalized Ricci flow converges to a constant curvature metric for a connected Kaehlerian slant submanifold in a complex space form if the squared norm of the second fundamental form satisfies certain upper bounds. These bounds include the constant sectional curvature, the slant angle, and the squared norm of the mean curvature vector. Additionally, we demonstrate that the submanifold is diffeomorphic to the sphere \(\mathbb {S}^{n_1}\) under some restriction on the mean curvature. We claim that some of our previous results are rare cases.

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来源期刊

Arabian Journal of Mathematics MATHEMATICS-

CiteScore

2.20

自引率

8.30%

发文量

审稿时长

13 weeks

期刊介绍： The Arabian Journal of Mathematics is a quarterly, peer-reviewed open access journal published under the SpringerOpen brand, covering all mainstream branches of pure and applied mathematics. Owned by King Fahd University of Petroleum and Minerals, AJM publishes carefully refereed research papers in all main-stream branches of pure and applied mathematics. Survey papers may be submitted for publication by invitation only.To be published in AJM, a paper should be a significant contribution to the mathematics literature, well-written, and of interest to a wide audience. All manuscripts will undergo a strict refereeing process; acceptance for publication is based on two positive reviews from experts in the field.Submission of a manuscript acknowledges that the manuscript is original and is not, in whole or in part, published or submitted for publication elsewhere. A copyright agreement is required before the publication of the paper.Manuscripts must be written in English. It is the author''s responsibility to make sure her/his manuscript is written in clear, unambiguous and grammatically correct language.