Rigidity and vanishing results on totally real submanifolds under Lᵖ-integrable conditions

Q: What type of study is this?

This is a Quantitative Study study.

Nguyen Thac Dung; L. G. Linh; P. B. Ngan; A. Upadhyay

doi:10.48550/arxiv.2507.12999

July 17, 2025Open Access

Rigidity and vanishing results on totally real submanifolds under Lᵖ-integrable conditions

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Key Points

The results indicate new findings on rigidity in minimal submanifolds of totally real structures.
Research shows extended conditions for L^p-integrability affecting vanishing properties in these submanifolds.
This revision builds on previous work by Cuong et al., enhancing the understanding of complex space forms.
Findings suggest a broader applicability in the geometric analysis of minimal submanifolds involved.

Implication

This analysis revises rigidity and vanishing properties in totally real submanifolds, extending L^p conditions.

Abstract

In this paper, we revise some results on rigidity and vanishing properties obtained by Cuong et.al in {CDS24} on n-dimensional totally real minimal submanifolds M immersed in complex space forms Mⁿ(c), for c≤0. We extend the range of p in their paper.

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Cite This Study

Dung et al. (2025) studied this question.

synapsesocial.com/papers/68f4b10d3d9d770bbc6970fe https://doi.org/10.48550/arxiv.2507.12999

View Full Paper

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Rigidity and vanishing results on totally real submanifolds under Lᵖ-integrable conditions

Key Points

Implication

Abstract

Discussion

Cite This Study

Rigidity and vanishing results on totally real submanifolds under Lᵖ-integrable conditions

Key Points

Implication

Abstract

Discussion

Cite This Study

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