Non-existence of continuous convex functions on certain Riemannian manifolds

Shing-Tung Yau

doi:10.1007/bf01351342

Non-existence of continuous convex functions on certain Riemannian manifolds

Mathematische Annalen ◽

10.1007/bf01351342 ◽

1974 ◽

Vol 207 (4) ◽

pp. 269-270 ◽

Cited By ~ 23

Author(s):

Shing-Tung Yau

Keyword(s):

Riemannian Manifolds ◽

Convex Functions

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Incremental Quasi-Subgradient Method for Minimizing Sum of Geodesic Quasi-Convex Functions on Riemannian Manifolds with Applications

Numerical Functional Analysis and Optimization ◽

10.1080/01630563.2021.2001823 ◽

2021 ◽

pp. 1-30

Author(s):

Qamrul Hasan Ansari ◽

Feeroz Babu ◽

Mohd. Zeeshan

Keyword(s):

Riemannian Manifolds ◽

Convex Functions ◽

Subgradient Method

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Convex functions on Riemannian manifolds

Mathematical Surveys and Monographs - The Ricci Flow: Techniques and Applications ◽

10.1090/surv/163/12 ◽

2010 ◽

pp. 413-456

Author(s):

Bennett Chow ◽

Sun-Chin Chu ◽

David Glickenstein ◽

Christine Guenther ◽

James Isenberg ◽

...

Keyword(s):

Riemannian Manifolds ◽

Convex Functions

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Characterization of Lower Semicontinuous Convex Functions on Riemannian Manifolds

Set-Valued and Variational Analysis ◽

10.1007/s11228-016-0380-9 ◽

2016 ◽

Vol 25 (2) ◽

pp. 297-311 ◽

Cited By ~ 2

Author(s):

S. Hosseini

Keyword(s):

Riemannian Manifolds ◽

Convex Functions ◽

Lower Semicontinuous

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Geodesic semilocal E-convex functions on Riemannian manifolds

Journal of Information and Optimization Sciences ◽

10.1080/02522667.2018.1424091 ◽

2018 ◽

Vol 39 (8) ◽

pp. 1717-1733 ◽

Cited By ~ 1

Author(s):

S. K. Porwal ◽

S. K. Mishra

Keyword(s):

Riemannian Manifolds ◽

Convex Functions

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Inf-Convolution and Regularization of Convex Functions on Riemannian Manifolds of Nonpositive Curvature

Revista Matemática Complutense ◽

10.5209/rev_rema.2006.v19.n2.16592 ◽

2006 ◽

Vol 19 (2) ◽

Cited By ~ 7

Author(s):

Daniel Azagra ◽

Juan Ferrera

Keyword(s):

Riemannian Manifolds ◽

Convex Functions ◽

Nonpositive Curvature

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The isometry groups of riemannian manifolds admitting strictly convex functions

Annales Scientifiques de l École Normale Supérieure ◽

10.24033/asens.1425 ◽

1982 ◽

Vol 15 (1) ◽

pp. 205-212 ◽

Cited By ~ 5

Author(s):

Takao Yamaguchi

Keyword(s):

Riemannian Manifolds ◽

Convex Functions ◽

Isometry Groups ◽

Strictly Convex

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Dini derivative and a characterization for Lipschitz and convex functions on Riemannian manifolds

Nonlinear Analysis ◽

10.1016/j.na.2006.12.013 ◽

2006 ◽

Author(s):

O FERREIRA

Keyword(s):

Riemannian Manifolds ◽

Convex Functions ◽

Dini Derivative

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Dini derivative and a characterization for Lipschitz and convex functions on Riemannian manifolds

Nonlinear Analysis ◽

10.1016/j.na.2006.12.038 ◽

2008 ◽

Vol 68 (6) ◽

pp. 1517-1528 ◽

Cited By ~ 14

Author(s):

O.P. Ferreira

Keyword(s):

Riemannian Manifolds ◽

Convex Functions ◽

Dini Derivative

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On geodesic convex and generalized geodesic convex functions over Riemannian manifolds

10.1063/1.5042176 ◽

2018 ◽

Author(s):

Avanish Shahi ◽

S. K. Mishra

Keyword(s):

Riemannian Manifolds ◽

Convex Functions ◽

Geodesic Convex

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Characterizations of geodesic sub-b-s-convex functions on Riemannian manifolds

The Journal of Nonlinear Sciences and Applications ◽

10.22436/jnsa.011.02.02 ◽

2018 ◽

Vol 11 (02) ◽

pp. 189-197 ◽

Cited By ~ 3

Author(s):

Izhar Ahmad ◽

Anurag Jayswal ◽

Babli Kumari

Keyword(s):

Riemannian Manifolds ◽

Convex Functions

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