An Aubin continuity path for shrinking gradient Kahler-Ricci solitons
被引:0
作者:
Cifarelli, Charles
论文数: 0引用数: 0
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机构:
SUNT Stony Brook, Math Dept, Stony Brook, NY 11794 USASUNT Stony Brook, Math Dept, Stony Brook, NY 11794 USA
Cifarelli, Charles
[1
]
Conlon, Ronan J.
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h-index: 0
机构:
Univ Texas Dallas, Dept Math Sci, Richardson, TX 75080 USASUNT Stony Brook, Math Dept, Stony Brook, NY 11794 USA
Conlon, Ronan J.
[2
]
Deruelle, Alix
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h-index: 0
机构:
Univ Paris Saclay, CNRS, Lab Math Orsay, F-91405 Orsay, FranceSUNT Stony Brook, Math Dept, Stony Brook, NY 11794 USA
Deruelle, Alix
[3
]
机构:
[1] SUNT Stony Brook, Math Dept, Stony Brook, NY 11794 USA
[2] Univ Texas Dallas, Dept Math Sci, Richardson, TX 75080 USA
[3] Univ Paris Saclay, CNRS, Lab Math Orsay, F-91405 Orsay, France
来源:
JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK
|
2024年
/
2024卷
/
815期
关键词:
MANIFOLDS;
GEOMETRY;
METRICS;
D O I:
10.1515/crelle-2024-0053
中图分类号:
O1 [数学];
学科分类号:
0701 ;
070101 ;
摘要:
Let D be a toric Kahler-Einstein Fano manifold. We show that any toric shrinking gradient Kahler-Ricci soliton on certain toric blowups of C x D satisfies a complex Monge-Ampere equation. We then set up an Aubin continuity path to solve this equation and show that it has a solution at the initial value of the path parameter. This we do by implementing another continuity method.
机构:
Univ British Columbia, Dept Math, Room 121,1984 Math Rd, Vancouver, BC V6T 1Z2, CanadaUniv British Columbia, Dept Math, Room 121,1984 Math Rd, Vancouver, BC V6T 1Z2, Canada
Chau, Albert
Li, Ka-Fai
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h-index: 0
机构:
Univ British Columbia, Dept Math, Room 121,1984 Math Rd, Vancouver, BC V6T 1Z2, CanadaUniv British Columbia, Dept Math, Room 121,1984 Math Rd, Vancouver, BC V6T 1Z2, Canada
Li, Ka-Fai
Tam, Luen-Fai
论文数: 0引用数: 0
h-index: 0
机构:
Chinese Univ Hong Kong, Inst Math Sci, Shatin, Hong Kong, Peoples R China
Chinese Univ Hong Kong, Dept Math, Shatin, Hong Kong, Peoples R ChinaUniv British Columbia, Dept Math, Room 121,1984 Math Rd, Vancouver, BC V6T 1Z2, Canada
机构:
Beijing Normal Univ, Sch Math Sci, Lab Math & Complex Syst, Minist Educ, Beijing 100875, Peoples R ChinaBeijing Normal Univ, Sch Math Sci, Lab Math & Complex Syst, Minist Educ, Beijing 100875, Peoples R China
机构:
Univ British Columbia, Dept Math, Room 121,1984 Math Rd, Vancouver, BC V6T 1Z2, CanadaUniv British Columbia, Dept Math, Room 121,1984 Math Rd, Vancouver, BC V6T 1Z2, Canada
Chau, Albert
Li, Ka-Fai
论文数: 0引用数: 0
h-index: 0
机构:
Univ British Columbia, Dept Math, Room 121,1984 Math Rd, Vancouver, BC V6T 1Z2, CanadaUniv British Columbia, Dept Math, Room 121,1984 Math Rd, Vancouver, BC V6T 1Z2, Canada
Li, Ka-Fai
Tam, Luen-Fai
论文数: 0引用数: 0
h-index: 0
机构:
Chinese Univ Hong Kong, Inst Math Sci, Shatin, Hong Kong, Peoples R China
Chinese Univ Hong Kong, Dept Math, Shatin, Hong Kong, Peoples R ChinaUniv British Columbia, Dept Math, Room 121,1984 Math Rd, Vancouver, BC V6T 1Z2, Canada
机构:
Beijing Normal Univ, Sch Math Sci, Lab Math & Complex Syst, Minist Educ, Beijing 100875, Peoples R ChinaBeijing Normal Univ, Sch Math Sci, Lab Math & Complex Syst, Minist Educ, Beijing 100875, Peoples R China