Convexity in Riemannian Manifolds without Focal Points

Empathy in medical care has been one of the focal points in the debate over the bright and dark sides of empathy. Whereas physician empathy is sometimes considered necessary for better physician-patient interactions, and is often desired by patients, it also has been described as a potential risk for exhaustion among physicians who must cope with their professional demands of confronting acute and chronic suffering. The present study compared physicians against demographically matched non-physicians on a novel behavioral assessment of empathy, in which they choose between empathizing or remaining detached from suffering targets over a series of trials. Results revealed no statistical differences between physicians and non-physicians in their empathy avoidance, though physicians were descriptively more likely to choose empathy. Additionally, both groups were likely to perceive empathy as cognitively challenging, and perceived cognitive costs of empathy associated with empathy avoidance. Across groups, there were also no statistically significant differences in self-reported trait empathy measures and empathy-related motivations and beliefs. Overall, these results suggest that physicians and non-physicians were more similar than different in terms of their empathic choices and in their assessments of the costs and benefits of empathy for others.

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On the equicontinuity of families of inverse mappings of Riemannian manifolds

Ukrainian Mathematical Bulletin ◽

10.37069/1810-3200-2019-16-4-7 ◽

2019 ◽

Vol 16 (4) ◽

pp. 557-566

Author(s):

Denis Ilyutko ◽

Evgenii Sevost'yanov

Keyword(s):

Riemannian Manifolds ◽

Type Inequality ◽

The Given ◽

Range Of Values

We study homeomorphisms of Riemannian manifolds with unbounded characteristic such that the inverse mappings satisfy the Poletsky-type inequality. It is established that their families are equicontinuous if the function Q which is related to the Poletsky inequality and is responsible for a distortion of the modulus, is integrable in the given domain, here the original manifold is connected and the domain of definition and the range of values of mappings have compact closures.

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Focal Points in Framed Games

10.1007/978-3-642-51112-7 ◽

2001 ◽

Cited By ~ 9

Author(s):

André Casajus

Keyword(s):

Focal Points

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