Homology of the Fiber Product of the Morse Function on the Unit Tangent Bundle of a Sphere

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This is a Quantitative Study study.

Yasuhiko Kamiyama

doi:10.17654/0972415x25008

September 10, 2025JP Journal of Geometry and Topology

Homology of the Fiber Product of the Morse Function on the Unit Tangent Bundle of a Sphere

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Key Points

The study determines the homology groups for the fiber product of the Morse function on the unit tangent bundle.
It focuses on the relationship between the Morse function and the Stiefel manifold of orthogonal frames.
Mathematical properties of the orthogonal 2-frames are explored in the context of Morse theory.
The research contributes to the understanding of topological features in homology theory.

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Implication

This analysis determines homology groups from the fiber product of Morse functions over the Stiefel manifold, highlighting mathematical relationships.

Abstract

Let be the Stiefel manifold of orthogonal 2-frames in . Let be the well-known Morse function and be the fiber product of two copies of . Then, we determine the homology groups .

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Yasuhiko Kamiyama (2025) studied this question.

synapsesocial.com/papers/68d44b2a31b076d99fa54459 https://doi.org/10.17654/0972415x25008

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Homology of the Fiber Product of the Morse Function on the Unit Tangent Bundle of a Sphere

Key Points

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Implication

Abstract

Discussion

Cite This Study

Homology of the Fiber Product of the Morse Function on the Unit Tangent Bundle of a Sphere

Key Points

Ask about this paper

Implication

Abstract

Discussion

Cite This Study

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