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Geodesics and Curvature of the Quotient-Affine Metrics on Full-Rank Correlation Matrices

Lecture Notes in Computer Science - Geometric Science of Information ◽

10.1007/978-3-030-80209-7_11 ◽

2021 ◽

pp. 93-102

Author(s):

Yann Thanwerdas ◽

Xavier Pennec

Keyword(s):

Rank Correlation ◽

Full Rank ◽

Correlation Matrices ◽

Affine Metrics

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Affine metrics of locally strictly convex surfaces in affine 4-space

Geometriae Dedicata ◽

10.1007/s10711-016-0140-x ◽

2016 ◽

Vol 183 (1) ◽

pp. 1-24 ◽

Cited By ~ 1

Author(s):

Juan J. Nuño-Ballesteros ◽

Luis Sánchez

Keyword(s):

Convex Surfaces ◽

Strictly Convex ◽

Affine Metrics

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A Schwarz lemma for Kähler affine metrics and the canonical potential of a proper convex cone

Annali di Matematica Pura ed Applicata (1923 -) ◽

10.1007/s10231-013-0362-6 ◽

2013 ◽

Vol 194 (1) ◽

pp. 1-42 ◽

Cited By ~ 4

Author(s):

Daniel J. F. Fox

Keyword(s):

Convex Cone ◽

Schwarz Lemma ◽

Proper Convex ◽

Affine Metrics

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Affine Metrics and Algebroid Structures: Application to General Relativity and Unification

International Journal of Theoretical Physics ◽

10.1007/s10773-012-1197-4 ◽

2012 ◽

Vol 51 (10) ◽

pp. 3160-3167 ◽

Cited By ~ 3

Author(s):

Naiereh Elyasi ◽

Naser Boroojerdian

Keyword(s):

General Relativity ◽

Affine Metrics

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Affine Metrics: An Structure for Unification of Gravitation and Electromagnetism

International Journal of Theoretical Physics ◽

10.1007/s10773-010-0622-9 ◽

2010 ◽

Vol 50 (3) ◽

pp. 850-860 ◽

Cited By ~ 2

Author(s):

N. Elyasi ◽

N. Boroojerdian

Keyword(s):

Affine Metrics

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Complete affine hypersurfaces. Part I. The completeness of affine metrics

Communications on Pure and Applied Mathematics ◽

10.1002/cpa.3160390606 ◽

1986 ◽

Vol 39 (6) ◽

pp. 839-866 ◽

Cited By ~ 96

Author(s):

Shiu-Yuen Cheng ◽

Shing-Tung Yau

Keyword(s):

Affine Metrics

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