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Adventures and Misadventures in Riemannian Geometry

Permanent Link: http://ncf.sobek.ufl.edu/NCFE003571/00001

Material Information

Title: Adventures and Misadventures in Riemannian Geometry Curvature Comparisons for Surfaces of Revolution
Physical Description: Book
Language: English
Creator: Silverstein, Jake
Publisher: New College of Florida
Place of Publication: Sarasota, Fla.
Creation Date: 2005
Publication Date: 2005

Subjects

Subjects / Keywords: Surfaces of Revolution
Curvature Comparisons
Riemannian Geometry
Genre: bibliography   ( marcgt )
theses   ( marcgt )
government publication (state, provincial, terriorial, dependent)   ( marcgt )
born-digital   ( sobekcm )
Electronic Thesis or Dissertation

Notes

Abstract: We introduce important tools of differential and Riemannian geometry, focusing on the construction of smooth manifolds, Riemannian metrics, geodesics, curvature,and the Laplace operator. We use the example of a surface of revolution throughout, providing a comprehensible but non-trivial case for consideration. We conclude by introducing a fundamental comparison theorem involving curvature bounds, and apply this result to surfaces of revolution.
Statement of Responsibility: by Jake Silverstein
Thesis: Thesis (B.A.) -- New College of Florida, 2005
Electronic Access: RESTRICTED TO NCF STUDENTS, STAFF, FACULTY, AND ON-CAMPUS USE
Bibliography: Includes bibliographical references.
Source of Description: This bibliographic record is available under the Creative Commons CC0 public domain dedication. The New College of Florida, as creator of this bibliographic record, has waived all rights to it worldwide under copyright law, including all related and neighboring rights, to the extent allowed by law.
Local: Faculty Sponsor: McDonald, Patrick

Record Information

Source Institution: New College of Florida
Holding Location: New College of Florida
Rights Management: Applicable rights reserved.
Classification: local - S.T. 2005 S58
System ID: NCFE003571:00001

Permanent Link: http://ncf.sobek.ufl.edu/NCFE003571/00001

Material Information

Title: Adventures and Misadventures in Riemannian Geometry Curvature Comparisons for Surfaces of Revolution
Physical Description: Book
Language: English
Creator: Silverstein, Jake
Publisher: New College of Florida
Place of Publication: Sarasota, Fla.
Creation Date: 2005
Publication Date: 2005

Subjects

Subjects / Keywords: Surfaces of Revolution
Curvature Comparisons
Riemannian Geometry
Genre: bibliography   ( marcgt )
theses   ( marcgt )
government publication (state, provincial, terriorial, dependent)   ( marcgt )
born-digital   ( sobekcm )
Electronic Thesis or Dissertation

Notes

Abstract: We introduce important tools of differential and Riemannian geometry, focusing on the construction of smooth manifolds, Riemannian metrics, geodesics, curvature,and the Laplace operator. We use the example of a surface of revolution throughout, providing a comprehensible but non-trivial case for consideration. We conclude by introducing a fundamental comparison theorem involving curvature bounds, and apply this result to surfaces of revolution.
Statement of Responsibility: by Jake Silverstein
Thesis: Thesis (B.A.) -- New College of Florida, 2005
Electronic Access: RESTRICTED TO NCF STUDENTS, STAFF, FACULTY, AND ON-CAMPUS USE
Bibliography: Includes bibliographical references.
Source of Description: This bibliographic record is available under the Creative Commons CC0 public domain dedication. The New College of Florida, as creator of this bibliographic record, has waived all rights to it worldwide under copyright law, including all related and neighboring rights, to the extent allowed by law.
Local: Faculty Sponsor: McDonald, Patrick

Record Information

Source Institution: New College of Florida
Holding Location: New College of Florida
Rights Management: Applicable rights reserved.
Classification: local - S.T. 2005 S58
System ID: NCFE003571:00001

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