DDVV conjecture for Riemannian maps from quaternionic space forms

K. C. Gupta; Punam Gupta

doi:10.48550/arxiv.2510.02372

September 29, 2025Open Access

DDVV conjecture for Riemannian maps from quaternionic space forms

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Key Points

The DDVV-type inequality shows significant relationships within Riemannian maps from quaternionic spaces to manifolds, indicating deeper geometrical insights.
In particular, the discussion of the equality case highlights foundational applications for theoretical frameworks in geometry and differential equations.
Observational analysis across various quaternionic space forms illustrates the mathematical structures underlying Riemannian manifolds and their properties.
Future work may enable further exploration of inequalities, expanding geometric theory beyond established boundaries in differential geometry.

Implication

Analysis reveals the DDVV-type inequality in quaternionic space forms, suggesting implications for Riemannian manifolds.

Abstract

In this paper, we investigate the DDVV-type inequality for Riemannian maps from quaternionic space forms to Riemannian manifolds. We also discuss the equality case of the derived inequality with application.

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Cite This Study

Gupta et al. (2025) studied this question.

synapsesocial.com/papers/690e8b75a5b062d7a4e7388a https://doi.org/10.48550/arxiv.2510.02372

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DDVV conjecture for Riemannian maps from quaternionic space forms

Key Points

Implication

Abstract

Discussion

Cite This Study

DDVV conjecture for Riemannian maps from quaternionic space forms

Key Points

Implication

Abstract

Discussion

Cite This Study

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