On Ricci Type Identities in Manifolds with Non-symmetric Affine Connection
Svetislav M. Minčić (2013)
Publications de l'Institut Mathématique
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Svetislav M. Minčić (2013)
Publications de l'Institut Mathématique
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S. M. Minčić (1976)
Matematički Vesnik
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Minc̀ić, Svetislav M. (1990)
Publications de l'Institut Mathématique. Nouvelle Série
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Paweł Grzegorz Walczak (1984)
Banach Center Publications
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Udo Simon (2015)
Colloquium Mathematicae
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For complete gradient Ricci solitons we state necessary conditions for a non-trivial soliton structure in terms of intrinsic curvature invariants.
Lohkamp, Joachim (1998)
Documenta Mathematica
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Svetislav M. Minčić (1977)
Publications de l'Institut Mathématique
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Oldrich Kowalski, Masami Sekizawa (2000)
Δελτίο της Ελληνικής Μαθηματικής Εταιρίας
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Colding, Tobias H. (1998)
Documenta Mathematica
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Weiyong He (2014)
Complex Manifolds
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We show that the standard picture regarding the notion of stability of constant scalar curvature metrics in Kähler geometry described by S.K. Donaldson [10, 11], which involves the geometry of infinitedimensional groups and spaces, can be applied to the constant scalar curvature metrics in Sasaki geometry with only few modification. We prove that the space of Sasaki metrics is an infinite dimensional symmetric space and that the transverse scalar curvature of a Sasaki metric is a moment...
Oldřich Kowalski, Barbara Opozda, Zdeněk Vlášek (1999)
Colloquium Mathematicae
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Curvature homogeneity of (torsion-free) affine connections on manifolds is an adaptation of a concept introduced by I. M. Singer. We analyze completely the relationship between curvature homogeneity of higher order and local homogeneity on two-dimensional manifolds.
Oldřich Kowalski, Friedbert Prüfer (1994)
Archivum Mathematicum
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A six-parameter family is constructed of (algebraic) Riemannian curvature tensors in dimension four which do not belong to any curvature homogeneous space. Also a general method is given for a possible extension of this result.
M.T. Anderson, J. Cheeger (1991)
Geometric and functional analysis
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