Differential Harnack inequalities and the Ricci flow:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Zürich
European Mathematical Society
2006
|
| Schriftenreihe: | EMS series of lectures in mathematics
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | VI, 92 S. |
| ISBN: | 9783037190302 |
Internformat
MARC
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| 035 | |a (OCoLC)76941925 | ||
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| 100 | 1 | |a Müller, Reto |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Differential Harnack inequalities and the Ricci flow |c Reto Müller |
| 264 | 1 | |a Zürich |b European Mathematical Society |c 2006 | |
| 300 | |a VI, 92 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a EMS series of lectures in mathematics | |
| 650 | 4 | |a Differential equations, Partial | |
| 650 | 4 | |a Differential inequalities | |
| 650 | 4 | |a Global differential geometry | |
| 650 | 4 | |a Heat equation | |
| 650 | 4 | |a Ricci flow | |
| 650 | 0 | 7 | |a Ricci-Fluss |0 (DE-588)7531847-7 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Harnack-Ungleichung |0 (DE-588)4759619-3 |2 gnd |9 rswk-swf |
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Datensatz im Suchindex
| _version_ | 1804136655901163520 |
|---|---|
| adam_text | Contents
Preface
v
Introduction
1
1
Foundational
material
11
1.1
Riemannian
metric and curvature tensors
................ 11
1.2
Variation formulas
............................ 14
1.3
Einstein-Hilbert functional and
Ricci
flow
............... 17
1.4
Evolution equations under
Ricci
flow
.................. 19
1.5
Adjoint heat equation and gradient solitons
............... 22
2
Differential Harnack inequalities
28
2.1
The Li-Yau Harnack inequality
..................... 30
2.2
Hamilton s matrix Harnack inequality
................. 34
2.3
Harnack inequalities for the
Ricci
flow
................. 42
3
Entropy formulas
47
3.1
The static case, part I
.......................... 47
3.2
Entropy for steady
Ricci
solitons
.................... 49
3.3
The static case, part
Π
.......................... 53
3.4
Entropy for shrinking solitons
..................... 59
3.5
Entropy for
Ricci
expanders
...................... 65
4
Reduced distance and reduced volume
67
4.1
The static case
.............................. 68
4.2
Perelman s «C-length and X-geodesies
................. 73
4.3
Monotonicity
of the reduced volume
.................. 77
Bibliography
87
List of symbols
89
Index
91
|
| adam_txt |
Contents
Preface
v
Introduction
1
1
Foundational
material
11
1.1
Riemannian
metric and curvature tensors
. 11
1.2
Variation formulas
. 14
1.3
Einstein-Hilbert functional and
Ricci
flow
. 17
1.4
Evolution equations under
Ricci
flow
. 19
1.5
Adjoint heat equation and gradient solitons
. 22
2
Differential Harnack inequalities
28
2.1
The Li-Yau Harnack inequality
. 30
2.2
Hamilton's matrix Harnack inequality
. 34
2.3
Harnack inequalities for the
Ricci
flow
. 42
3
Entropy formulas
47
3.1
The static case, part I
. 47
3.2
Entropy for steady
Ricci
solitons
. 49
3.3
The static case, part
Π
. 53
3.4
Entropy for shrinking solitons
. 59
3.5
Entropy for
Ricci
expanders
. 65
4
Reduced distance and reduced volume
67
4.1
The static case
. 68
4.2
Perelman's «C-length and X-geodesies
. 73
4.3
Monotonicity
of the reduced volume
. 77
Bibliography
87
List of symbols
89
Index
91 |
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| discipline | Mathematik |
| discipline_str_mv | Mathematik |
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| illustrated | Not Illustrated |
| index_date | 2024-07-02T18:10:35Z |
| indexdate | 2024-07-09T20:59:51Z |
| institution | BVB |
| isbn | 9783037190302 |
| language | English |
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| physical | VI, 92 S. |
| publishDate | 2006 |
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| publisher | European Mathematical Society |
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| series2 | EMS series of lectures in mathematics |
| spelling | Müller, Reto Verfasser aut Differential Harnack inequalities and the Ricci flow Reto Müller Zürich European Mathematical Society 2006 VI, 92 S. txt rdacontent n rdamedia nc rdacarrier EMS series of lectures in mathematics Differential equations, Partial Differential inequalities Global differential geometry Heat equation Ricci flow Ricci-Fluss (DE-588)7531847-7 gnd rswk-swf Harnack-Ungleichung (DE-588)4759619-3 gnd rswk-swf Harnack-Ungleichung (DE-588)4759619-3 s Ricci-Fluss (DE-588)7531847-7 s DE-604 Erscheint auch als Müller, Reto Differential Harnack inequalities and the Ricci flow Online-Ausgabe 978-3-03719-530-7 (DE-604)BV036706035 Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015748358&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Müller, Reto Differential Harnack inequalities and the Ricci flow Differential equations, Partial Differential inequalities Global differential geometry Heat equation Ricci flow Ricci-Fluss (DE-588)7531847-7 gnd Harnack-Ungleichung (DE-588)4759619-3 gnd |
| subject_GND | (DE-588)7531847-7 (DE-588)4759619-3 |
| title | Differential Harnack inequalities and the Ricci flow |
| title_auth | Differential Harnack inequalities and the Ricci flow |
| title_exact_search | Differential Harnack inequalities and the Ricci flow |
| title_exact_search_txtP | Differential Harnack inequalities and the Ricci flow |
| title_full | Differential Harnack inequalities and the Ricci flow Reto Müller |
| title_fullStr | Differential Harnack inequalities and the Ricci flow Reto Müller |
| title_full_unstemmed | Differential Harnack inequalities and the Ricci flow Reto Müller |
| title_short | Differential Harnack inequalities and the Ricci flow |
| title_sort | differential harnack inequalities and the ricci flow |
| topic | Differential equations, Partial Differential inequalities Global differential geometry Heat equation Ricci flow Ricci-Fluss (DE-588)7531847-7 gnd Harnack-Ungleichung (DE-588)4759619-3 gnd |
| topic_facet | Differential equations, Partial Differential inequalities Global differential geometry Heat equation Ricci flow Ricci-Fluss Harnack-Ungleichung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015748358&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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