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Curvature blow-up in doubly-warped product metrics evolving by Ricci flow / Maxwell Stolarski.
Math/Physics/Astronomy Library QA3 .A57 no. 1470
Available
- Format:
- Book
- Author/Creator:
- Stolarski, Maxwell, author.
- Series:
- Memoirs of the American Mathematical Society ; v. 1470.
- Memoirs of the American Mathematical Society, 0065-9266 ; no. 1470
- Language:
- English
- Subjects (All):
- Ricci flow.
- Physical Description:
- v, 147 pages ; 26 cm.
- Place of Publication:
- Providence, RI : American Mathematical Society, [2024]
- Summary:
- For any manifold Np admitting an Einstein metric with positive Einstein constant, we study the behavior of the Ricci flow on high-dimensional products M = Np x Sq+1 with doubly warped product metrics. In particular, we provide a rigorous construction of local, type II, conical singularity formation on such spaces. It is shown that for any k>1 there exists a solution with curvature blow-up rate ∥Rm∥∞(t)≥(T-t)-k with singularity modeled on a Ricci-flat cone at parabolic scales.
- Notes:
- Includes bibliographical references (pages 145-147).
- ISBN:
- 9781470468767
- 147046876X
- OCLC:
- 1429638295
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