惯性聚合 高效追踪和阅读你感兴趣的博客、新闻、科技资讯
阅读原文 在惯性聚合中打开

推荐订阅源

V
Visual Studio Blog
量子位
大猫的无限游戏
大猫的无限游戏
Hugging Face - Blog
Hugging Face - Blog
S
SegmentFault 最新的问题
Blog — PlanetScale
Blog — PlanetScale
月光博客
月光博客
Google DeepMind News
Google DeepMind News
小众软件
小众软件
WordPress大学
WordPress大学
宝玉的分享
宝玉的分享
MongoDB | Blog
MongoDB | Blog
B
Blog RSS Feed
博客园 - Franky
奇客Solidot–传递最新科技情报
奇客Solidot–传递最新科技情报
B
Blog
博客园 - 聂微东
The GitHub Blog
The GitHub Blog
Recent Announcements
Recent Announcements
Y
Y Combinator Blog
Microsoft Security Blog
Microsoft Security Blog
雷峰网
雷峰网
Jina AI
Jina AI
酷 壳 – CoolShell
酷 壳 – CoolShell

math updates on arXiv.org

Coupling-Robust Accuracy in Multiphysics Physics Informed Neural Networks via Kronecker-Preconditioned Optimization Non-normal spectral signatures of instability in neural network training dynamics Optimization of randomized neural networks for transfer operator approximation Selective Ambulance Dispatch Under Contextual Travel-Time Uncertainty LLAMA LIMA: A Living Meta-Analysis on the Effects of Generative AI on Learning Mathematics Neural Flow Operators can Approximate any Operator: Abstract Frameworks and Universal Approximations LLMs as Noisy Channels: A Shannon Perspective on Model Capacity and Scaling Laws On the Stability of Spherical Hellinger-Kantorovich Flows and Their Implications for Differential Privacy Training-Free Looped Transformers Move on Muon : A Hamiltonian probability gradient flow perspective of Muon optimizer Entrywise Error Bounds for Spectral Ranking with Semi-Random Adversaries Asymmetric Scaling Laws from Sparse Features Is Dimensionality a Barrier for Retrieval Models? RA-DCA: A Randomized Active-Set DCA for Directional Stationarity in Max-Structured DC Programs Commutator-Induced Uncertainty in VAEs Weisfeiler-Leman Is Incomplete on Simple Spectrum Graphs, so Canonicalize Them Sparse In-Network Learning via Shortest-Path Backpropagation and Finite-Rate Gating Instance-Optimal Estimation with Multiple LLM Judges on a Budget Entropy Equivalence Testing Expand More, Shrink Less: Shaping Effective-Rank Dynamics for Dense Scaling in Recommendation Any-Dimensional Invariant Universality Operationalizing Individual Fairness via Gradient Descent and Bradley-Terry Models Anytime Training with Schedule-Free Spectral Optimization Diffusion-based Denoising Beats Vanilla Score Matching in Parameter Estimation: A Theoretical Explanation Resilience Characterization of AI-Native Wireless Receivers via Persistent Homology The General Theory of Localization Methods Group-Algebraic Tensors: Provably-optimal Equivariant Learning and Physical Symmetry Discovery General Lower Bounds for Differentially Private Federated Learning with Arbitrary Public-Transcript Interactions PilotWiMAE: Pilot-Native Representation Learning for Wireless Channels Proximal basin hopping: global optimization with guarantees
The Morse index of constant curvature 2-spheres
[Submitted on 4 Jun 2026 (v1), last revised 16 Jun 2026 (this ve · 2026-06-18 · via math updates on arXiv.org

Mathematics > Differential Geometry

arXiv:2606.06634 (math)

[Submitted on 4 Jun 2026 (v1), last revised 16 Jun 2026 (this version, v2)]

View PDF HTML (experimental)

Abstract:In the round $N$-sphere, we calculate the Morse index and nullity of all immersed minimal 2-spheres having constant Gauss curvature. We also obtain bounds on the stability index of the associative cone in $R^7$ whose link is the Boruvka sphere in $S^6$.

Submission history

From: Jesse Madnick [view email]
[v1] Thu, 4 Jun 2026 18:34:35 UTC (21 KB)
[v2] Tue, 16 Jun 2026 18:49:19 UTC (21 KB)

Current browse context:

math.DG

Bookmark

BibSonomy Reddit

Bibliographic Tools

Bibliographic and Citation Tools

Bibliographic Explorer Toggle

Code, Data, Media

Code, Data and Media Associated with this Article

Demos

Demos

Related Papers

Recommenders and Search Tools

About arXivLabs

arXivLabs: experimental projects with community collaborators

arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website.

Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them.

Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs.